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1
LEROY, SANDRINE. "Varietes d'albanese superieures complexes d'une variete kahlerienne compacte." Nancy 1, 1999. http://www.theses.fr/1999NAN10032.
Повний текст джерелаАнотація:
Nous reprenons dans notre these la construction des varietes d'albanese superieures d'une variete kahlerienne compacte x. Ces varietes (de groupe fondamental les quotients nilpotents sans torsion de #1(x)) generalisent la variete d'albanese usuelle (de groupe fondamental l'abelianise de #1 (x)). Deux methodes permettent de les decrire a partir du groupe de lie de malcev de #1 (x). L'une, inspiree de hain, repose sur l'existence d'une structure de hodge mixte sur l'anneau du groupe #1(x). L'autre, inspiree de morgan, exploite la theorie des modeles minimaux de sullivan (que nous avons adaptee a notre contexte). Toutes deux utilisent fortement la theorie des integrales iterees de chen. Apres avoir construit les varietes (et les morphismes) d'albanese, nous en enumerons quelques proprietes et decrivons le cas ou x est une courbe. Enfin, grace aux varietes d'albanese, nous prouvons d'une part l'holomorphe convexite du revetement de malcev de x, resultat qui va dans le sens de la conjecture de shafarevich. D'autre part, nous decrivons l'espace vectoriel des fonctions holomorphes a croissance polynomiale d'ordre donne sur un revetement galoisien nilpotent de x, a l'aide des polynomes sur le revetement universel des varietes d'albanese superieures.
2
Nakamoto, Kazunori. "Representation varieties and character varieties." 京都大学 (Kyoto University), 2000. http://hdl.handle.net/2433/151648.
Повний текст джерела
3
Heckenberger, Martin. "Identification of essentially derived varieties in maize (Zea mays L.) using molecular markers, morphological traits, and heterosis." [S.l. : s.n.], 2004. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB11514040.
Повний текст джерела
4
Giné, Vázquez Iago. "Albanese varieties of non-Archimedean uniformized varieties." Doctoral thesis, Universitat Autònoma de Barcelona, 2017. http://hdl.handle.net/10803/405530.
Повний текст джерелаАнотація:
En esta tesis doctoral ofrecemos una construcción conjetural de la variedad de Albanese de una variedad uniformizada no arquimediana fijándonos en una estructura métrica contenida en la última y llamada su esqueleto (que es, esencialmente, una curva tropical). Para ello realizamos una construcción paralela (real, tropical) sobre el esqueleto, que deviene el esqueleto de nuestra propuesta para variedad de Albanese, la subimos a una construcción analítica sobre la variedad dada y usamos que su esqueleto es el cociente de un cierto subedificio localmente finito de un edificio de Bruhat-Tits, que también aparece como el esqueleto de la variedad uniformizante. Entonces, relacionamos unas ciertas cocadenas armónicas en los edificios con las medidas armónicas en sus finales como paso clave en la demostración de que la construcción hecha es la variedad de Albanese.
Esta tesis tiene dos partes principales. Una está dedicada a describir con completa generalidad esta construcción en dimensión 1, mientras en la segunda estudiamos la estructura del edificio de Bruhat-Tits y realizamos una construcción que preveemos que es la variedad de Albanese buscada, bajo la hipótesis de que el cuerpo base tiene una valoración discreta.
Empezamos estudiando la Jacobiana de un grafo, en el capítulo 1 sin más estructura, en el capítulo 2 un grafo métrico. Nuestro trabajo, junto con otros, muestra que nuestra descripción de la Jacobiana de un grafo métrico en términos de integración sobre los finales del árbol métrico que es su recubrimiento universal extiende, de alguna manera, la Jacobiana (discreta) de un grafo sin estructura métrica. Aquí introducimos las cocadenas armónicas en los árboles y las medidas armónicas en los finales, y demostramos que hay un isomorfismo entre ellas como paso importante para lograr el resultado principal.
En el capítulo 3 desarrollamos la teoría de curvas de Mumford y sus Jacobianas en el marco de la geometría de Berkovich, las relacionamos con sus esqueletos por medio de la aplicación de retracción e introducimos las integrales multiplicativas. Entonces extendemos a nuestras hipótesis generales varios resultados conocidos en casos particulares (por ejemplo, sobre un cuerpo base local) gracias a esas herramientas recientes, y usamos los resutados sobre la Jacobiana de un grafo métrico aplicados al esqueleto correspondiente para obtener que la construcción realizada mediante integrales multiplicativas y medidas armónicas es una variedad abeliana. Después probamos que es la Jacobiana mediante la teoría de funciones theta, desarrollada desde la perspectiva novedosa de la geometría de Berkovich usando funciones tropicales.
En el capítulo 4 adaptamos esta construcción a dimensión superior, dando un candidato natural a ser la variedad de Albanese de una variedad uniformizada no arquimediana tal como construyó Mustafin como una generalización de las curvas de Mumford. Para ello extendemos la noción de grupo de Schottky a cualquier dimensión siguiendo el trabajo de Mustafin y estudiamos con detalle la estructura de los edificios de Bruhat-Tits sobre un cuerpo completo con una valoración discreta. Entonces nos retringimos a dimensión 2 para definir las cocadenas armónicas sobre ciertos subcomplejos de cámaras, y probamos que son isomorfas a las medidas armónicas sobre un cierto compacto de los puntos racionales del correspondiente espacio proyectivo cuando el subcomplejo asociado es un edificio. Finalmente, usamos esto para hacer una reducción de la demostración de que la construcción realizada es un toro analítico.In this PhD thesis, we give a conjectural construction of the Albanese variety of a non-Archimedean uniformized variety by means of looking at a metrical structure contained in the last one and called its skeleton (which is, essentially, a tropical curve). In order to do that we make a parallel (real, tropical) construction on the skeleton, which becomes the skeleton of the conjectural Albanese we were seeking for, we rise this to an analytic construction over the given variety and we use that its skeleton is the quotient of a certain locally finite subbuilding of a Bruhat-Tits building, which appears also as the skeleton of the uniformizing variety. Later, we relate the harmonic cochains on the buildings with the harmonic measures on the ends as a key step in the proof that one gets the Albanese variety. The thesis has two main parts. One is devoted to describe with complete generality this construction in dimension 1, while in the second we study the structure of the Bruhat-Tits building and we make a construction that we expect it is the Albanese variety, under the assumption that the ground field has a discrete valuation. We start by study the Jacobian of a graph, in the chapter 1 without more structure, in the chapter 2 a metric graph. Our work, together with others, shows that our description of the Jacobian of a metric graph in terms of integration on the ends of the universal covering metric tree extends in some way the (discrete) Jacobian of a graph without metric structure. Here we introduce harmonic cochains on the trees and harmonic measures on the ends, and we prove that they are isomorphic, as an important step to the main result. In the chapter 3 we develope the theory of Mumford curves and their Jacobians in the setting of Berkovich geometry, we relate them with their skeletons by means of the retraction map and we introduce the multiplicative integrals. Then, we extend to our general hypotheses several known results about them in particular cases (like for a local ground field) with those new tools, and we use the results on the Jacobian of a metric graph applied to the corresponding skeleton to get that the construction we do with multiplicative integrals and harmonic measures is an abelian variety. After that, we prove that it is the Jacobian by means of the theory of theta functions, developed from the new perspective of Berkovich geometry using tropical functions. In the chapter 4 we adapt this construction to higher dimension, giving a natural candidate to be the Albanese variety of a non-Archimedean uniformized variety as it was built by Mustafin as a generalization of Mumford curves. In order to do it, we extend the notion of Schottky group to any dimension following the work of Mustafin, and we study deeply the structure of the Bruhat-Tits buildings over a complete field with a discrete valuation. Then, we restrict to dimension 2 to define the harmonic cochains over certain chamber subcomplexes, and we prove that they are isomorphic to the harmonic measures over a certain compact set of the rational points of the corresponding projective space when the associated subcomplex is a building. Finally we use it to start to prove that the construction we do is an analytic torus.
5
Yafaev, Andrei. "Sous-varietes des varietes de shimura." Rennes 1, 2000. http://www.theses.fr/2000REN10151.
Повний текст джерелаАнотація:
Dans cette these on traite certains cas de la conjecture d'andre-oort qui affirme que les composantes irreductibles de l'adherence de zariski d'un ensemble de points speciaux dans une variete de shimura est une sousvariete de type hodge. Le premier resultat traite le cas des courbes dans un produit s 1 s 2 ou s 1 et s 2 sont des courbes de shimura associees aux algebres de quaternions indefines sur q. On demontre la conjecture d'andre-oort pour un tel produit en supposant l'hypothese de riemann generalisee. Le deuxieme resultat affirme qu'une courbe irreductible fermee dans une variete de shimura quelconque s contenant un ensemble infini de points qui sont dans une orbite de hecke est de type hodge. Ce resultat implique, via le travail de cohen, wolfart et wustholz, une conjecture sur la transcendence de valeurs de fonctions hypergeometriques.
6
Qureshi, Muhammad Imran. "Families of polarised varieties in weighted flag varieties." Thesis, University of Oxford, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555300.
Повний текст джерелаАнотація:
We construct families of polarised projective varieties as quasilinear sections of weighted flag varieties in codimensions 6,7,8,9 and 10. Our tools include a general formula for the Hilbert series of weighted flag varieties, an algorithm to compute their defining equations under their Plücker-style embeddings, and detailed computer-assisted searches. We study complete intersections in a weighted flag variety of the Lie group of type G2, the weighted Grassmannian wGr(2,6), the weighted Lagrangian Grassman- nian wLGr(3,6), a partial weighted flag variety of type A3 and finally a weighted flag variety of the exceptional Lie group of type F4. We construct many families of canon- ical Calabi-Yau 3-folds, log-terminal Q-Fano 3-folds and canonical 3-folds with cyclic quotient singularities.
7
Kolhatkar, Ratnadha. "Grassmann varieties." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81347.
Повний текст джерелаАнотація:
In this thesis we study the simplest types of generalized Grassmann varieties. The study involves defining those varieties, understanding their local structures, calculating their Zeta functions, defining cycles on those varieties and studying their cohomology groups.We begin with the classical Grassmannian G( d, n) and then study a special type of the Grassmannian, namely the Lagrangian Grassmannian. For a field k and a subring R ⊂ End(kn) we study the generalized Grassmann variety G(R; d, n) which is the set of all d-dimensional subspaces of kn that are preserved under R. We study the local structure of the generalized Grassmann scheme F R := G(R; d, n) and its zeta function in some particular cases. We study closely the example of a quadratic field when R is the ring of integers.
8
Knutson, Allen Ivar. "Weight varieties." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/38831.
Повний текст джерела
9
Швачко, Світлана Олексіївна, Светлана Алексеевна Швачко, Svitlana Oleksiivna Shvachko, and T. Vasyura. "English varieties." Thesis, Видавництво СумДУ, 2004. http://essuir.sumdu.edu.ua/handle/123456789/22927.
Повний текст джерела
10
Martin, Jeremy Leander. "Graph varieties /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2002. http://wwwlib.umi.com/cr/ucsd/fullcit?p3061650.
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11
KEDIM, IMAD. "Varietes de schubert, varietes toriques et treillis distributifs." Université Louis Pasteur (Strasbourg) (1971-2008), 2000. http://www.theses.fr/2000STR13074.
Повний текст джерелаАнотація:
Soit g un groupe algebrique semi-simple sur un corps k algebriquement clos, p un sous-groupe parabolique et w p le quotient du groupe de weyl de g par celui de p. Fixons un poids dominant , associe a p et notons l le fibre en droite g pk g/p. Dans la premiere partie de cette these, pour tout element w de w p, nous construisons une variete projective y w (reunion de varietes toriques) telle que pour tout poids dominant associe a p, il existe un fibre en droite ample sur y w dont le polynome de hilbert est egal a celui de l restreint a la variete de schubert x (w). Dans la seconde partie, nous etudions les proprietes combinatoires de l'ordre de bruhat sur w p, p classique, et, en application, nous construisons une famille plate sur spec (kt) telle que la fibre en (t u), u = 0 est isomorphe a x(w) et la fibre speciale est egale a y w.
12
Heumann, Stefan. "Varieties of Entrepreneurship." Diss., lmu, 2011. http://nbn-resolving.de/urn:nbn:de:bvb:19-139484.
Повний текст джерела
13
Dionne, Christopher. "Deligne-Lusztig varieties." Thesis, University of Ottawa (Canada), 2009. http://hdl.handle.net/10393/28351.
Повний текст джерелаАнотація:
In this thesis we expose some of the theory behind Deligne-Lusztig varieties. To this end, we develop the general theory of flag varieties, the theory of BN-pairs, and the theory of varieties defined over finite ground fields. With these tools in hand, we define Deligne-Lusztig varieties. We then study the Deligne-Lusztig varieties associated with general linear groups using flags, and give a complete description in the case of GL3.
14
De, Sousa Rebecca M. "Varieties of Fundamentalism." unrestricted, 2006. http://etd.gsu.edu/theses/available/etd-01042007-150945/.
Повний текст джерелаАнотація:
Thesis (B.A. Honors)--Georgia State University, 2006.Timothy Renick, committee member. Electronic text (116 p.) : digital, PDF file. Description based on contents viewed July 9, 2007. Includes bibliographical references (p. 111-116).
15
De, Sousa Rebecca M. "Varieties of Fundamentalism." Digital Archive @ GSU, 2007. http://digitalarchive.gsu.edu/rs_hontheses/5.
Повний текст джерелаАнотація:
The term “Fundamentalism” used as a comparative category within the academic study of religion has become problematic. Fundamentalism, is not one comprehensive movement but is, in fact, a phenomenon which encompasses a variety of beliefs, practices, and expectations. This thesis will explore the diversity of several different and distinct fundamentalist movements. I will discuss the natures of four Christian movements that have been labeled “fundamentalist” – Jehovah’s Witnesses, Christian Reconstructionists, Jerry Falwell and Pat Robertson – on several key points, eschatology, political philosophy, as well as level of social involvement. I will then turn to fundamentalism as it is used as a category to describe a global phenomenon. I will discuss three different scholarly approaches by turning to the work of Bruce Lawrence, Mark Juergensmeyer, and Bruce Lincoln on the Islamic “fundamentalist” group al- Qaeda. Finally I will argue that the category “fundamentalism” can be best understood in terms of a family resemblance.
16
Armon-Jones, Claire. "Varieties of affect." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.670309.
Повний текст джерела
17
Jipsen, Peter. "Varieties of lattices." Master's thesis, University of Cape Town, 1988. http://hdl.handle.net/11427/15851.
Повний текст джерелаАнотація:
Bibliography: pages 140-145.An interesting problem in universal algebra is the connection between the internal structure of an algebra and the identities which it satisfies. The study of varieties of algebras provides some insight into this problem. Here we are concerned mainly with lattice varieties, about which a wealth of information has been obtained in the last twenty years. We begin with some preliminary results from universal algebra and lattice theory. The next chapter presents some properties of the lattice of all lattice sub-varieties. Here we also discuss the important notion of a splitting pair of varieties and give several characterisations of the associated splitting lattice. The more detailed study of lattice varieties splits naturally into the study of modular lattice varieties and non-modular lattice varieties, dealt with in the second and third chapter respectively. Among the results discussed there are Freese's theorem that the variety of all modular lattices is not generated by its finite members, and several results concerning the question which varieties cover a given variety. The fourth chapter contains a proof of Baker's finite basis theorem and some results about the join of finitely based lattice varieties. Included in the last chapter is a characterisation of the amalgamation classes of certain congruence distributive varieties and the result that there are only three lattice varieties which have the amalgamation property.
18
Lahoz, Vilalta Marti. "Theta-duality in abelian varieties and the bicanonical map of irregular varieties." Doctoral thesis, Universitat Politècnica de Catalunya, 2010. http://hdl.handle.net/10803/77898.
Повний текст джерелаАнотація:
The first goal of this Thesis is to contribute to the study of principally polarized abelian varieties (ppav), especially to the
Schottky and the Torelli problems. Ppav admit a duality theory analogous to that of projective spaces, where the role
played by hyperplanes in projective spaces is played by divisors representing the principal polarization. Thus, given a
subvariety Y of a ppav, we can define its thetadual
T(Y) as the set of divisors representing the principal polarization
that contain this subvariety. This set admits a natural schematic structure (as defined by Pareschi and Popa).
Jacobian and Prym varieties are classical examples of ppav constructed from curves. Besides, they are interesting
because some properties of the curves involved in their construction are reflected in their geometry or in the geometry
of some special subvarieties. For example, in the case of Jacobians we have the BrillNoether
loci Wd ( W1 corresponds
to the AbelJacobi
curve) and in the case of Pryms we have the AbelPrym
curve C.
In chapter III, we study the schematic structure of the thetadual
of the BrillNoether
loci Wd and the AbelPrym
curve.
In the first case, we obtain with different methods, the result of Pareschi and Popa T(Wd)= Wgd1.
In the case of the
AbelPrym
curve C, we get that T(C)=V², where V² is the second PrymBrillNoether
locus with the schematic structure
defined by Welters.
Pareschi and Popa have proved a result for ppavs analogous to the Castelnuovo Lemma for projective spaces. That is,
if (A,Θ) is a ppav of dimension g, then g+2 distinct points in general position with respect to Θ, but in special position
with respect to 2Θ, have to be contained in a curve of minimal degree in A, i.e. an AbelJacobi
curve. In particular,
they obtain a Schottky result because A has to be a Jacobian variety and a Torelli result, because the curve is the
intersection of all the divisors in |2Θ| that contain the g+2 points. In chapter IV, as Eisenbud and Harris have done in
the projective Castelnuovo Lemma, we extend this result to possibly nonreduced
finite schemes.
The second goal of this thesis is the study of varieties of general type. Almost by definition, pluricanonical maps are the
essential tool to study them. One of the main problems in this area is to find geometric or numerical conditions to
guarantee that the mth
pluricanonical map (for low m) induces a birational equivalence with its image.
The classification of surfaces whose bicanonical map is nonbirational
has attracted considerable interest among
algebraic geometers. In chapter V, we give a sufficient numerical condition for the birationality of the bicanonical map of
irregular varieties of arbitrary dimension.
We also prove that, if X is a primitive variety, then it only admits very special fibrations to other irregular varieties. For
primitive varieties we get that the following are equivalent:
X
is birational to a divisor Θ in an indecomposable ppav,
the
irregularity q(X) > dim X and the bicanonical map is nonbirational.
When X is a primitive variety of general type and q(X) = dim X we prove, under certain conditions over the Stein
factorization of the Albanese map, that the only possibility for the bicanonical map being nonbirational
is that X is a
double cover branched along a divisor in |2Θ|. These results extend to arbitrary dimension, wellknown
theorems in the
case of surfaces and curves.El primer objectiu d'aquesta tesi és contribuir a l'estudi de les varietats abelianes principalment polaritzades (vapp), especialment als problemes de Schottky i Torelli. Les vapp admeten una teoria de dualitat anàloga a la dualitat dels espais projectius, on el paper que juguen els hiperplans de l'espai projectiu és substituït pels divisors que representen la polarització principal. Així doncs, donada una subvarietat Y d'una vapp, podem definir el seu thetadual T(Y) com el conjunt dels divisors que representen la polarització principal i contenen aquesta subvarietat. Aquest conjunt admet una estructura esquemàtica natural (tal i com la defineixen Pareschi i Popa). Les varietats Jacobianes i de Prym són exemples clàssics de vapp construïdes a partir de corbes. A més, són interessants perquè certes propietats de les corbes involucrades es veuen reflectides en elles o en algunes subvarietats especials. Per exemple, en el cas de les Jacobianes tenim els llocs de BrillNoether Wd ( W1 correspon a la corba d'AbelJacobi) i en el cas de les Pryms tenim la corba d'AbelPrym C. Al capítol III de la tesi s'estudia l'estructura esquemàtica del thetadual dels llocs de BrillNoether Wd i de la corba d'AbelPrym. En el primer cas, es reobté amb uns altres mètodes, el resultat de Pareschi i Popa T(Wd)= Wgd1. En el cas de la corba d'AbelPrym C, s'obté que T(C)=V², onV² és el segon lloc de PrymBrillNoether amb l'estructura esquemàtica definida per Welters. Pareschi i Popa han demostrat un resultat anàleg per les vapp al Lemma de Castelnuovo pels espais projectius. És a dir, si (A,Θ) és una vapp de dimensió g, aleshores g+2 punts en posició general respecte Θ, però en posició especial respecte 2Θ, han d'estar continguts en una corba de grau minimal a A, i.e. una corba d'AbelJacobi. En particular, s'obté un resultat de Schottky ja que A ha de ser una Jacobiana i un resultat de Torelli, ja que la corba és la intersecció de tots els divisors de |2Θ| que contenen els g+2 punts. Al capítol IV, tal i com Eisenbud i Harris van fer en el cas projectiu, s'estén aquest resultat a esquemes finits possiblement no reduïts. El segon objectiu d'aquesta tesi és contribuir a l'estudi de les varietats de tipus general. Pràcticament per definició, les aplicacions pluricanòniques són essencials pel seu estudi. Un dels problemes principals de l'àrea és donar condicions geomètriques o numèriques per assegurar que la mèsima aplicació pluricanònica (per m baix) indueix una equivalència biracional amb la imatge. La classificació de les superfícies que tenen l'aplicació bicanònica no biracional ha atret l'atenció de molts geòmetres algebraics. Al capítol V, es dóna un criteri numèric suficient per assegurar la biracionalitat de l'aplicació bicanònica de les varietats irregulars de dimensió arbitrària. També es demostra que si X és una varietat primitiva, aleshores només admet fibracions molt especials a altres varietats irregulars. Per aquestes varietats s'obté que és equivalent que X sigui biracional a un divisor Θ en una vapp indescomponible, a què la irregularitat q(X) > dim X i l'aplicació bicanònica sigui no biracional. Quan X és una varietat primitiva de tipus general i q(X) = dim X es demostra sota certes condicions de la descomposició de Stein del morfisme d'Albanese, que l'única possibilitat per tal que l'aplicació bicanònica sigui no biracional és que X sigui un recobriment doble sobre una vapp ramificat al llarg d'un divisor a |2Θ|. Aquest resultats estenen a dimensió arbitrària, teoremes ben coneguts en el cas de superfícies i corbes.
19
Nill, Benjamin. "Gorenstein toric Fano varieties." [S.l.] : [s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=976200414.
Повний текст джерела
20
Viens, Caroline F. "Varieties of personal aging." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq25977.pdf.
Повний текст джерела
21
Park, Sung-Hoon. "Varieties in contest models." Laramie, Wyo. : University of Wyoming, 2005. http://proquest.umi.com/pqdweb?did=888843991&sid=2&Fmt=2&clientId=18949&RQT=309&VName=PQD.
Повний текст джерела
22
Shchuplev, Alexey. "Toric varieties and residues." Doctoral thesis, Stockholm : Department of Mathematics, Stockholm University, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-6870.
Повний текст джерела
23
Basyrov, Alexander. "Intersections of Segre varieties." [Bloomington, Ind.] : Indiana University, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3274915.
Повний текст джерелаАнотація:
Thesis (Ph. D.)--Indiana University, Dept. of Mathematics, 2007.Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4518. Adviser: Sergey Pinchuk. Title from dissertation home page (viewed Apr. 21, 2008).
24
Mizerski, Maciej. "Singularities of Schubert varieties." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=33427.
Повний текст джерелаАнотація:
Let G be a semi-simple linear algebraic group defined over an algebraically closed field and B a Borel subgroup. A Schubert variety is the closure of an orbit of the group B in the flag variety G/B. The present thesis studies the algebraic curves with a torus action in general and in the case of Schubert varieties. It also presents two proofs of Peterson's Theorem and describes the singular locus of Schubert varieties in terms of the Peterson map.
25
Lim, Kay Jin. "Varieties for Specht modules." Thesis, University of Aberdeen, 2009. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=53379.
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This thesis concerns the conjecture on the complexities of Specht modules made by VIGRE research group in Georgia. We show that the cohomological variety of a Specht module is the cohomological variety of a defect group of the block containing the Specht module if the defect group is abelian. In this case, the complexity of the Specht module is the p-weight of the corresponding partition. We also show that the latter statement holds if the partition is a hook partition or belongs to a large class of p-regular partitions. We give formulae for the generic Jordan types of signed permutation modules re- stricted to elementary abelian p-subgroups generated by disjoint p-cycles. This al- lows us to formulate the generic Jordan type of the Specht module corresponding to a hook partition restricted to elementary abelian p-subgroups generated by m disjoint p-cycles where m is the p-weight of the the hook. In the case where the partition is (pp), we show that the complexity of the Specht module is p-1 and we investigate the rank variety of the restricted module S(pp)↓E where E is a maximal elementary abelian p-subgroup of Sp² of rank p. In particular, we show that the degree of the projectivized rank variety is non-zero and divisible by (p-1)².
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Wilfong, Andrew. "TORIC VARIETIES AND COBORDISM." UKnowledge, 2013. http://uknowledge.uky.edu/math_etds/8.
Повний текст джерелаАнотація:
A long-standing problem in cobordism theory has been to find convenient manifolds to represent cobordism classes. For example, in the late 1950's, Hirzebruch asked which complex cobordism classes can be represented by smooth connected algebraic varieties. This question is still open. Progress can be made on this and related problems by studying certain convenient connected algebraic varieties, namely smooth projective toric varieties. The primary focus of this dissertation is to determine which complex cobordism classes can be represented by smooth projective toric varieties. A complete answer is given up to dimension six, and a partial answer is described in dimension eight. In addition, the role of smooth projective toric varieties in the polynomial ring structure of complex cobordism is examined. More specifically, smooth projective toric varieties are constructed as polynomial ring generators in most dimensions, and evidence is presented suggesting that a smooth projective toric variety can be chosen as a polynomial generator in every dimension. Finally, toric varieties with an additional fiber bundle structure are used to study some manifolds in oriented cobordism. In particular, manifolds with certain fiber bundle structures are shown to all be cobordant to zero in the oriented cobordism ring.
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Slack, Roger Simon. "Varieties of sociological reflexivity." Thesis, University of Manchester, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.488028.
Повний текст джерелаАнотація:
Chapter one forms the first part of my explication of 'essential' reflexivity. It discusses the marmer in which analysts have sought to 'remedy' the problem of context, and the ways in which indexical utterances have been regarded as problematic by logicians, and latterly by sociological analysts. I argue that 'essential' reflexivity must treat members" utterances as contexted, and not seek to 'remedy' this feature of natural language. Chapter two discusses the marmer in which Garfinkel advocates' essential' reflexivity as a feature of accounts which is uninteresting to members. However, it is important to note that reflexivity is an essential component of accounts and the circumstances they describe. I show how Garfinkel's 'analytic mentality' produces a non-ironic treatment of members sense-making practices within the natural attitude. Chapter three is a treatment of the work of Edward Rose and his ethnoinquiries analytic mentality. It is arguably the first thorough treatment of Rose's 'small languages' project, which is used to illustrate the marmer in which natural language is employed by members as a descriptive resource. Rose's approach is also shown to yield a non-ironic diachronic analysis of the relationship of words to things in the world, and is contrasted with the work of Foucault. Chapter four discusses correspondence and coherence epistemologies in an attempt to show how we may illustrate the epistemological commitments of the two modes of reflexivity that are discussed in the thesis. I argue that 'essential' reflexivity may be regarded as employing a coherence theory wherein accounts are constitutive of the world, while 'stipulative' reflexivity' employs a correspondence theory that may privilege analytic accounts of the world. Chapter five discusses the reflexivities to be found within the sociology of scientific knowledge. It critically assess the 'strong programme', 'discourse analysis' and 'new literary forms' arguing that each arrogates interpretive privilege to the analyst. The chapter ends with a comparison between the 'stipulative' reflexivities and the ethnomethodological study of scientific practice. Chapter six treats the work of those anthropologists who follow Clifford and Marcus (1986). I show how a reflexivity concerned with the text and the production of texts can only be stipulative in that it arrogates interpretive privilege to analysts suggesting that such a treatment may re-contextualise artefacts and accounts. I return to the themes of the first two chapters in my critique of this mode of reflexivity, saying that we must treat accounts in context if they are to remain 'phenomenologically intact'.
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Emery, Stephen John. "Varieties of ordered bands." Thesis, University of York, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.242118.
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Hartman, Jeremy. "Varieties of clausal complementation." Thesis, Massachusetts Institute of Technology, 2012. http://hdl.handle.net/1721.1/77800.
Повний текст джерелаАнотація:
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Linguistics and Philosophy, 2012.Cataloged from PDF version of thesis.
Includes bibliographical references (p. 135-141).
This thesis argues that clausal arguments of mental-state predicates divide into two main types: those that express the content, or "subject matter" of the mental state, and those that express the cause of the mental state. My central theoretical claim is that this dichotomy corresponds to a difference in syntactic structure. I propose that these different structures derive from an operation of promotion to subject position that is constrained by two factors. First, it is constrained by syntactic category: DPs, but crucially not CPs, are eligible for promotion, and I argue that clauses in subject position are in fact DPs. Second, it constrained by locality: even among DPs, only the highest DP is eligible for promotion. I explore a range of cases where this locality constraint is not met-i.e., cases of "argument intervention" in a variety of constructions. Finally, I discuss how these constraints interact to derive the realization of clausal arguments and the syntactic properties of the predicates that select them.
by Jeremy Fine Hartman.
Ph.D.
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Hefez, Abramo. "Duality for projective varieties." Thesis, Massachusetts Institute of Technology, 1985. http://hdl.handle.net/1721.1/86249.
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Gounelas, Frank. "Free curves on varieties." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:3a7f6dba-fad2-4517-994e-0b51ea311df8.
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In this thesis we study various ways in which every two general points on a variety can be connected by curves of a fixed genus, thus mimicking the notion of a rationally connected variety but for arbitrary genus. We assume the existence of a covering family of curves which dominates the product of a variety with itself either by allowing the curves in the family to vary in moduli, or by assuming the family is trivial for some fixed curve of genus g. A suitably free curve will be one with a large unobstructed deformation space, the images of whose deformations can join any number of points on a variety. We prove that, at least in characteristic zero, the existence of such a free curve of higher genus is equivalent to the variety being rationally connected. If one restricts to the case of genus one, similar results can be obtained even allowing the curves in the family to vary in moduli. In later chapters we study algebraic properties of such varieties and discuss attempts to prove the same rational connectedness result in positive characteristic.
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Maurer, Michael, and Lucy Bradley. "Low Desert Citrus Varieties." College of Agriculture and Life Sciences, University of Arizona (Tucson, AZ), 1998. http://hdl.handle.net/10150/144811.
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6 pp.When choosing a variety of citrus to plant in your yard consider: what you like to eat; when you want to harvest; and how cold it gets in your yard. There are many varieties of species of citrus, each with its own characteristics. This publication lists the characteristics of some of the most popular varieties of citrus.
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Arbo, Matthew. "Zonotopes and Hypertoric Varieties." Thesis, University of Oregon, 2016. http://hdl.handle.net/1794/19686.
Повний текст джерелаАнотація:
Hypertoric varieties are a class of conical symplectic resolutions which are very
computable. In the current literature, they are only defined constructively, using
hyperplane arrangements. We provide an abstract definition of a hypertoric variety and a new construction using zonotopal tilings and relate the zonotopal construction to the hyperplane construction.
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Esposito, Francesco. "Orbits in symmetric varieties." Doctoral thesis, La Sapienza, 2005. http://hdl.handle.net/11573/917110.
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Berteletti, Ilaria A. "Varieties of Numerical Representations." Doctoral thesis, Università degli studi di Padova, 2008. http://hdl.handle.net/11577/3426392.
Повний текст джерелаАнотація:
A growing amount of evidence supports the hypothesis that humans are able, from the earliest age, to process numerical information in the absence of language. This work addresses the question of the nature of the internal representation for processing numerosities from three perspective: developmental, adults' skilled performance, and the peculiar case of synaesthesia.
In our studies with children we addressed the development of the mental representation for numbers. In the first experiment we showed that, before formal teaching, preschoolers possess multiple numerical representations that follow a specific developmental trend. Indeed, they first rely on an intuitive representation where numbers are distributed logarithmically and progressively, with numerical practice and increasing knowledge, they shift to a formal and linear representation. Moreover, preschool children can exhibit both types of representations according to the familiarity with the context.
In the second study, we tested the hypothesis that non-numerical sequences may also rely on a similar representation and follow the same developmental pattern. By studying children from the last year of kindergarten to 3rd grade we observed that numerical and non-numerical sequences have different mental representations. Indeed, only the numerical sequence shows the classical effects that support the hypothesis of a logarithmic representation. Moreover, we observed that children start to learn linearity in the numerical domain and then generalize the principle to all ordinal sequences.
In our third study we investigated adults numerical representation of symbolic and non symbolic material. The aim was to test if the basic ability of discriminating between numerosities could explain higher level processes such as approximate calculation and symbolic number comparison. Indeed, if the preverbal approximate system of the numerical representation forms the basis of more complex numerical and mathematical knowledge, it should influence performance in other numerical tasks. Moreover, the crossing of symbolic and non-symbolic format of the stimuli for the approximate calculation task allowed us to qualify previous findings about the operational momentum effect in approximate arithmetic (i.e., the tendency to overestimate additions and underestimate subtractions). Indeed, we observed that the effect may be explained by the tendency to underestimate numerosities and that this bias is proportional to the set size.
In the last experiment we investigated the relation between colour and numerical representation in NM, a number-colour synaesthete. Results showed that, in spite of not reporting colours for numerosities, our synaesthete was subject to interference effects. From these results we suggest a new model that accounts for the implicit and explicit synaesthetic effects by suggesting the existence of primary and secondary synaesthetic connections ("pseudo-synaesthesia"). Our results and model questions previous work on bi-directional effects and the operational definition of synaesthesia.
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Beckerstedt, Oscar. "Haasärämärä : En kvalitativ studie om värmländska lärare och lärarstudenters attityder och förhållningssätt till talspråkliga varieteter i undervisning." Thesis, Karlstads universitet, Institutionen för språk, litteratur och interkultur (from 2013), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-67512.
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The aim of this study is to investigate teachers’ attitudes and approaches to linguistic varieties in teaching and also to find out how they are represented in the classroom. The study was made from a sociolinguistic perspective. The study includes the methods, interviews and observations. The methods are used to investigate attitudes towards and teachers‘ approach to different varieties in the language. Furthermore the aim is to create an image of how the language varieties takes expression in teaching situations. The results of the study proves a mostly positive attitudes towards varieties in spoken language. The study also shows occasions when the varieties are seen as something negative, and some occasions where the correct way of using language are more preferably. A part of this study was to investigate different generations perspective of spoken language, which is presented and discussed. The outcome was something else then the hypothesis. The respondents of this investigation are connecting the concepts “youth language” and “bad language”. They also emphasizes that swearing is increasing in school. However, they point out, that the early years of primary school is relatively liberated from the bad language and that an increase occurs at the transition to middle school. The study also includes how teachers are working with language switching and appreciation of different variates.Syftet med examensarbetet är att undersöka attityder och förhållningsätt till olika talspråkliga varieteter och hur de representeras i klassrummet. Arbetet tar avstamp utifrån ett sociolingvistiskt perspektiv. Metoder som används i arbetet är intervju samt observation. Metoderna används för att undersöka attityder, synen och lärarnas förhållningssätt till olika varieteter i språket samt för att skapa en bild av hur undervisningssituationer ser ut i praktiken. Resultaten i studien påvisar en övervägande positiv syn gentemot varieteter i talat språk. Studien identifierar dock tillfällen då dessa varieteter uppfattas som negativt och standardspråket framställs som det korrekta språkbruket. Ett av studien teman behandlar skillnader mellan olika generationers syn på språkbruket, vilket diskuteras och presenteras. Hypotesen att det skulle uppkomma stora skillnader visade sig få ett annat utfall. Deltagarna i studien sammanlänkar begreppen ungdomsspråk och svordomar. Vidare så framhäver de att svordomar har ökat i skolan. De poängterar dock att lågstadiet är relativt befriad från det fula språket och att en ökning sker vid övergången till mellanstadiet. Studiens resultat visar även metoder och arbetssätt som lärare använder sig av i sin undervisning vilka grundar sig i språkväxling och uppskattning av olika talspråkliga varieteter. Studien diskuterar slutligen teman av språknormativ karaktär.
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Semenov, Nikita. "Motives of projective homogeneous varieties." Diss., lmu, 2007. http://nbn-resolving.de/urn:nbn:de:bvb:19-70866.
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Parra, Rodrigo. "Lelong numbers on projective varieties." Licentiate thesis, KTH, Matematik (Inst.), 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-25285.
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Zibrowius, Marcus. "Witt groups of complex varieties." Thesis, University of Cambridge, 2011. https://www.repository.cam.ac.uk/handle/1810/239413.
Повний текст джерелаАнотація:
The thesis Witt Groups of Complex Varieties studies and compares two related cohomology theories that arise in the areas of algebraic geometry and topology: the algebraic theory of Witt groups, and real topological K-theory. Specifically, we introduce comparison maps from the Grothendieck-Witt and Witt groups of a smooth complex variety to the KO-groups of the underlying topological space and analyse their behaviour. We focus on two particularly favourable situations. Firstly, we explicitly compute the Witt groups of smooth complex curves and surfaces. Using the theory of Stiefel-Whitney classes, we obtain a satisfactory description of the comparison maps in these low-dimensional cases. Secondly, we show that the comparison maps are isomorphisms for smooth cellular varieties. This resultapplies in particular to projective homogeneous spaces. By extending knowncomputations in topology, we obtain an additive description of the Witt groups of all projective homogeneous varieties that fall within the class of hermitian symmetric spaces.
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Ross, Julius. "Instability of polarised algebraic varieties." Thesis, Imperial College London, 2006. http://hdl.handle.net/10044/1/1250.
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By analogy with the definition for sheaves, we define the slope of a polarised algebraic variety and of each of its subschemes. This gives a notion of slope stability, which we show is a necessary condition for K-stability. We also give the modifications needed to get a necessary condition for asymptotic Chow stability. We then give various calculations of slope and concrete examples. These examples have been chosen to be of interest to the conjectured correspondence between K-stability and the existence of K¨ahler metrics of constant scalar curvature. In particular we get new examples of polarised manifolds that do not admit such metrics.
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Bergeron, Maxime Octave. "The topology of representation varieties." Thesis, University of British Columbia, 2016. http://hdl.handle.net/2429/58741.
Повний текст джерелаАнотація:
The goal of this thesis is to understand the topology of representation varieties. To be more precise, let G be a complex reductive linear algebraic group and let K ⊂ G be a maximal compact subgroup. Given a finitely generated nilpotent group Γ, we consider the representation spaces Hom(Γ,G) and Hom(Γ,K) endowed with the compact-open topology. Our main result shows that there is a strong deformation retraction of Hom(Γ,G) onto Hom(Γ,K). We also obtain a strong deformation retraction of the geometric invariant theory quotient Hom(Γ,G)//G onto the ordinary quotient Hom(Γ,K)/K. Using these deformations, we then describe the topology of these spaces.Science, Faculty of
Mathematics, Department of
Graduate
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Fristedt, Emma. "Irish loanwords in English varieties." Thesis, Högskolan i Halmstad, Akademin för lärande, humaniora och samhälle, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-27603.
Повний текст джерелаАнотація:
This essay will discuss and research the width and frequency of Irish loanwords in contemporary English varieties. The meanings, uses, differences, similarities and collocations of selected words will be discussed and analyzed in order to find answers to the research questions asked. The methods used are quantitative and qualitative research methods. The quantitative method will measure the frequency of the selected words in each of the selected varieties and the qualitative method will discuss the meanings and uses of the words in the different varieties. Each word has its own section which discuss meanings, developments and instances in which the words can be found in the different varieties. These sections are summarized at the end of the essay and the conclusion states that Irish loanwords in contemporary English varieties are not greatly widespread compared to the frequency of the same words in Irish English. A few of the words have been able to develop their meaning and use through time, but most instances of the words show the original meaning and use.
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Mullany, Renzo John. "Birationally rigid singular Fano varieties." Thesis, University of Liverpool, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.539743.
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歐偉民 and Wai-man Au. "Families of polarized abelian varieties." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1997. http://hub.hku.hk/bib/B31214897.
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Giuzzi, Luca. "Hermitian varieties over finite fields." Thesis, University of Sussex, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.326913.
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Turner, Simon Charles. "Differential operators on algebraic varieties." Thesis, University of Warwick, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386865.
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Lemos, Pedro. "Residual representations of Abelian varieties." Thesis, University of Warwick, 2017. http://wrap.warwick.ac.uk/94788/.
Повний текст джерелаАнотація:
This thesis is divided in two parts, corresponding to two papers in which I collaborated during the course of my PhD studies. Both of these parts are concerned with the question of surjectivity of residual Galois representations arising from abelian varieties defined over Q. At the start of each chapter, a full introduction to the topic covered is provided.
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Goddard, Russell. "Commuting varieties and nilpotent orbits." Thesis, University of Birmingham, 2017. http://etheses.bham.ac.uk//id/eprint/7476/.
Повний текст джерелаАнотація:
Let \(G\) be a reductive algebraic group over an algebraically closed field \(k\) of good characteristic, let \(g\)=Lie(\(G\)) be the Lie algebra of \(G\), and let \(P\) be a parabolic subgroup of \(G\) with \(p\)=Lie(\(P\)). We consider the commuting variety \(C\)(\(p\)) of \(p\) and obtain two criteria for \(C\)(\(p\)) to be irreducible. In particular we classify all cases when the commuting variety \(C\)(\(b\)) is irreducible, for \(b\) a Borel subalgebra of \(g\). We then let \(G\) be a classical group and let \(O\)\(_1\) and \(O\)\(_2\) be nilpotent orbits of \(G\) in \(g\). We say that \(O\)\(_1\) and \(O\)\(_2\) commute if there exists a pair (\(X\), \(Y\)) ∈ \(O\)\(_1\)×\(O\)\(_2\) such that [\(X\),\(Y\)]=0. For \(g\)=\(s\)\(p\)\(_2\)\(_m\)(\(k\)) or \(g\)=\(s\)\(o\)\(_n\)(\(k\)), we describe the orbits that commute with the regular orbit, and classify (with one exception) the orbits that commute with all other orbits in \(g\). This extends previously-known results for \(g\)=\(g\)\(l\)\(_n\)(\(k\)). Finally let φ be a Springer isomorphism, that is, a \(G\)-equivariant isomorphism from the unipotent variety \(U\) of \(G\) to the nilpotent variety \(N\) of \(g\). We show that polynomial Springer isomorphisms exist when \(G\) is of type G\(_2\), but do not exist for types E\(_6\) and E\(_7\) for \(k\) of small characteristic.
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Fhlathuin, Brid ni. "Mahler's measure on Abelian varieties." Thesis, University of East Anglia, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.296951.
Повний текст джерелаАнотація:
This thesis is a study of the integration of proximity functions over certain compact groups. Mean values are found of the ultrametric valuation of certain rational functions associated with a divisor on an abelian variety, and it is shown how these may be expressed in terms of an integral, thus finding the analogue, for an abelian variety, of Mahler's definition of the measure of a polynomial. These integrals are shown to arise in a manner which mimics classical Riemann sums, and their relation with the global canonical height is investigated. It is shown that the measure is a rational multiple of log p. Similar results are given for elliptic curves, taking the divisor to be the identity of the group law, and somewhat stronger mean value theorems proven in this more specific case by working directly with local canonical heights rather than approaching them through related functions. Effective asymptotic formulae for the local height are derived, first for the kernel of reduction of a curve and then, via a detailed analysis of the local reduction of the curve, for the group of rational points. The theory of uniform distribution is used to show that the mean value also takes an integral form in the case of an archimedean valuations, and recent inequalities for elliptic forms in logarithms are used to give error terms for the convergence towards the measure. This is undertaken first for the local height on an elliptic curve, and then, in terms of general theta-functions, on an abelian variety. We then seek to exploit these generalisations of the Mahler measure to yield an alternative method to that of Silverman and Tate for the determining of the global height. The integration over a cyclic group of the laws satisfied locally by the height allows us to reformulate our theorems in a manner conducive to practical application. It is demonstrated how our asymptotic formulae may be used together with an appropriate computer software package, PARI in our case, to calculate the mean value of heights, and, more generally, of rational functions, on an elliptic curve and on abehan varieties of higher genus. Some such calculations are displayed, with comments on their efficacy and their possible future development.
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Schalekamp, Hendrick. "Complex algebras, varieties and games." Master's thesis, University of Cape Town, 2003. http://hdl.handle.net/11427/4928.
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Bibliography: leaves 123-126.Complex algebras have proven very useful in presenting the modern day logician with a tool to approach a wide variety of problems in the field of algebraic logic. This dissertation is intended as an exploration of various approaches to the study of complex algebras. In particular we will take a look at the logical and semantic views of complex algebras, as well as logical games involving these algebras.