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Silberstein, Aaron. "Anabelian Intersection Theory". Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10141.
Pełny tekst źródłaMathematics
Nichols, Margaret E. "Intersection Number of Plane Curves". Oberlin College Honors Theses / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1385137385.
Pełny tekst źródłaGaray-Lopez, Cristhian Emmanuel. "Tropical intersection theory, and real inflection points of real algebraic curves". Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066364/document.
Pełny tekst źródłaThis thesis is divided in two main parts. First, we study the relationships between intersection theories in tropical and algebraic geometry. Then, we study the question of the possibilities for the distribution of the real inflection points associated to a real linear system defined on a smooth real algebraic curve. In the first part, we present new results linking algebraic and tropical intersection theories over a very-affine algebraic variety defined over a particular non-Archimedean field (known as Mal’cev-Newmann field). The main result concerns the intersection of a one-dimensional algebraic cycle with a Cartier divisor in a variety with simple tropicalization. In the second part, we obtain first a characterization of the distribution of real inflection points associated to a real complete linear system of degree d>1 defined over a smooth real elliptic curve. Then we study some canonical, non-hyperelliptic real algebraic curves of genus 4 in a 3-dimensional projective space. We obtain a formule that relies the amount of real Weierstrass points of such a curve with the Euler-Poincaré characteristic of certain topological space. Finally, using O. Viro’s Patch-working technique, we construct an example of a smooth, non-hyperelliptic real algebraic curve of genus 4 having 30 real Weierstrass points
Ihringer, Ferdinand [Verfasser]. "Finite geometry intersecting algebraic combinatorics : an investigation of intersection problems related to Erdös-Ko-Rado theorems on Galois geometries with help from algebraic combinatorics / Ferdinand Ihringer". Gießen : Universitätsbibliothek, 2015. http://d-nb.info/1076005918/34.
Pełny tekst źródłaKioulos, Charalambos. "From Flag Manifolds to Severi-Brauer Varieties: Intersection Theory, Algebraic Cycles and Motives". Thesis, Université d'Ottawa / University of Ottawa, 2020. http://hdl.handle.net/10393/40716.
Pełny tekst źródłaTreisman, Zachary. "Arc spaces and rational curves /". Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/5780.
Pełny tekst źródłaHilmar, Jan. "Intersection of algebraic plane curves : some results on the (monic) integer transfinite diameter". Thesis, University of Edinburgh, 2008. http://hdl.handle.net/1842/3843.
Pełny tekst źródłaMitchell, W. P. R. "p-Fold intersection points and their relation with #pi#'s(MU(n))". Thesis, University of Manchester, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.377731.
Pełny tekst źródłaWotzlaw, Lorenz. "Intersection cohomology of hypersurfaces". Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2008. http://dx.doi.org/10.18452/15719.
Pełny tekst źródłaWell known theorems of Carlson and Griffiths provide an explicit description of the variation of Hodge structures associated to a family of smooth hypersurfaces together with the cupproduct pairing on the middle cohomology. We give a generalization to families of nodal hypersurfaces using M. Saitos theory of mixed Hodge modules.
Ernstroem, Lars, Shoji Yokura i yokura@sci kagoshima-u. ac jp. "Bivariant Chern-Schwartz-MacPherson Classes with Values in Chow Groups". ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi891.ps.
Pełny tekst źródłaGonzalez, Espinoza Luis. "The Knaster-Kuratowski-Mazurkiewicz theorem and abstract convexities". Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/28640.
Pełny tekst źródłaCohen, Camron Alexander Robey. "CURVING TOWARDS BÉZOUT: AN EXAMINATION OF PLANE CURVES AND THEIR INTERSECTION". Oberlin College Honors Theses / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=oberlin159345184740689.
Pełny tekst źródłaTramel, Rebecca. "New stability conditions on surfaces and new Castelnuovo-type inequalities for curves on complete-intersection surfaces". Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/20990.
Pełny tekst źródłaRimmasch, Gretchen. "Complete Tropical Bezout's Theorem and Intersection Theory in the Tropical Projective Plane". Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2507.pdf.
Pełny tekst źródłade, Gosson de Varennes Serge. "Multi-oriented Symplectic Geometry and the Extension of Path Intersection Indices". Doctoral thesis, Växjö universitet, Matematiska och systemtekniska institutionen, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-400.
Pełny tekst źródłaCheboui, Smail. "Intersection Algébrique sur les surfaces à petits carreaux". Electronic Thesis or Diss., Montpellier, 2021. http://www.theses.fr/2021MONTS006.
Pełny tekst źródłaWe study the quantity denoted Kvol defined by KVol(X,g) = Vol(X,g)*sup_{alpha,beta} frac{Int(alpha,beta)}{l_g (alpha)l_g(beta)} where X is a compact surface of genus s, Vol(X,g) is the volume (area) of the surface with respect to the metric g and alpha, beta two simple closed curves on the surface X.The main results of this thesis can be found in Chapters 3 and 4. In Chapter 3 titled "Algebraic intersection for translation surfaces in the stratum H(2)" we are interested in the sequence of kvol of surfaces L(n,n) and we provide that KVol(L(n,n)) goes to 2 when n goes to infinity. In Chapter 4 titled "Algebraic intersection for translation surfaces in a family of Teichmüller disks" we are interested in the Kvol for a surfaces belonging to the stratum H(2s-2) wich is an n-fold ramified cover of a flat torus. We are also interested in the surfaces St(2s-1) and we show that kvol(St(2s-1))=2s-1. We are also interested in the minimum of Kvol on the Teichmüller disk of the surface St(2s-1) which will be (2s-1)sqrt {frac {143}{ 144}} and it is achieved at the two points (pm frac{9}{14}, frac{sqrt{143}}{14})
Poma, Flavia. "Gromov-Witten theory of tame Deligne-Mumford stacks in mixed characteristic". Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4718.
Pełny tekst źródłaMalec, Sara. "Intersection Algebras and Pointed Rational Cones". Digital Archive @ GSU, 2013. http://digitalarchive.gsu.edu/math_diss/14.
Pełny tekst źródłaMalec, Sara. "Noetherian Filtrations and Finite Intersection Algebras". Digital Archive @ GSU, 2008. http://digitalarchive.gsu.edu/math_theses/55.
Pełny tekst źródłaBonini, Matteo. "Intersections of Algebraic Curves and their link to the weight enumerators of Algebraic-Geometric Codes". Doctoral thesis, Università degli studi di Trento, 2019. https://hdl.handle.net/11572/368573.
Pełny tekst źródłaBonini, Matteo. "Intersections of Algebraic Curves and their link to the weight enumerators of Algebraic-Geometric Codes". Doctoral thesis, University of Trento, 2019. http://eprints-phd.biblio.unitn.it/3507/1/PhD_thesis_Bonini.pdf.
Pełny tekst źródłaLuu, Ba Thang. "Matrix-based implicit representations of algebraic curves and surfaces and applications". Nice, 2011. http://www.theses.fr/2011NICE4035.
Pełny tekst źródłaIn this thesis, we introduce and study a new implicit representation of rational curves of arbitrary dimensions and propose an implicit representation of rational hypersurfaces. The, we illustrate the advantages of this matrix representation by addressing several important problems of Computer Aided Geometric Design (CAGD) : the curve/curve, curve/surface and surface/surface intersection problems, the point-on-curve and inversion problems, the computation of singularities of rational curves. We also develop some symbolic/numeric algorithms to manipulate these new representations for example : the algorithm for extracting the regular part of a non square pencil of univariate polynomial matrices and bivariate polynomial matrices. In the appendix of this thesis work we present an implementation of these methods in the computeur algebra systems Mathemagix and Maple. In th last chapter, we describe an algorithm which, given a set of univariate polynomials ∱₁,…∱s returns a set of polynomials U₁,…, Us with prescribed degree-bounds such that the degree of gcd (∱₁ + U₁,…, ∱s + Us) is bounded below by a given degree assuming some genericity hypothesis
Juteau, Daniel. "Correspondance de Springer modulaire et matrices de décomposition". Phd thesis, Université Paris-Diderot - Paris VII, 2007. http://tel.archives-ouvertes.fr/tel-00355559.
Pełny tekst źródłaBrotbek, Damian. "Variétés projective à fibré cotangent ample". Phd thesis, Université Rennes 1, 2011. http://tel.archives-ouvertes.fr/tel-00677065.
Pełny tekst źródłaWakefield, Max. "On the derivation module and apolar algebra of an arrangement of hyperplanes /". view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1188874511&sid=1&Fmt=2&clientId=11238&RQT=309&VName=PQD.
Pełny tekst źródłaTypescript. Includes vita and abstract. Includes bibliographical references (leaves 83-84). Also available for download via the World Wide Web; free to University of Oregon users.
Tran, Quang Hoa. "Images et fibres des applications rationnelles et algèbres d'éclatement". Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066567/document.
Pełny tekst źródłaRational maps are fundamental objects in algebraic geometry. They are used to describe some geometric objects,such as parametric representation of rational algebraic varieties. Lately, rational maps appeared in computer-engineering contexts, mostly applied to shape modeling using computer-aided design methods for curves and surfaces. Parameterized algebraic curves and surfaces are used intensively to describe objects in geometric modeling, such as car bodies, airplanes.Therefore, the study of rational maps is of theoretical interest in algebraic geometry and commutative algebra, and of practical importance in geometric modeling. My thesis studies images and fibers of rational maps in relation with the equations of the symmetric and Rees algebras. In geometric modeling, it is of vital importance to have a detailed knowledge of the geometry of the object and of the parametric representation with which one is working. The question of how many times is the same point being painted (i.e., corresponds to distinct values of parameter), depends not only on the variety itself, but also on the parameterization. It is of interest for applications to determine the singularities of the parameterizations. In the chapters 2 and 3, we study the fibers of a rational map from P^m to P^nthat is generically finite onto its image. More precisely, in the second chapter, we will treat the case of parameterizations of algebraic rational surfaces. In this case, we give a quadratic bound in the degree of the defining equations for the number of one-dimensional fibers of the canonical projection of the graph of $\phi$ onto its image,by studying of the difference between the initial degree of ordinary and saturated powers of the base ideal. In the third chapter, we refine and generalize the results on fibers of the previous chapter.More generally, we establish a linear bound in the degree of the defining equations for the number of (m-1)-dimensional fibers of the canonical projection of its graph onto its image, by using ideals of minors of the Jacobian matrix.In the fourth chapter, we consider rational maps whose source is a product of two subvarieties, each one being embedded in a projective space. Our main objective is to investigate birationality criteria for such maps. First, a general criterion is given in terms of the rank of a couple of matrices that came to be known as "Jacobian dual matrices". Then, we focus on rational maps from P^1 x P^1 to P^2 in very low bidegrees and provide new matrix-based birationality criteria by analyzing the syzygies of the defining equations of the map, in particular by looking at the dimension of certain bigraded parts of the syzygy module. Finally, applications of our results to the context of geometric modeling are discussed at the end of the chapter
Andreja, Tepavčević. "Specijalni elementi mreže i primene". Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 1993. http://dx.doi.org/10.2298/NS19930629TEPAVCEVIC.
Pełny tekst źródłaA characterization of various types of special elements in lattices: codistributive, neutral, cancellable, standard, exceptional, continuous, infinitely distributive and others are given, and the results are applied in structural investigations in algebras, in particular in lattices of subalgebras, congruences and weak congruences. Special elements are investigated also in bi-semilattices and new representation theorems for bisemilattices are obtained. The collection of all lattices with the same poset of meet-irreducible elements is studied and it is proved that this collection is a lattice under inclusion and characterizations of this lattice is given. A problem of transferability of lattice identities from lattices of subalgebras and congruences to lattices of weak congruencse of algebras is solved. The congruence intersection property and the congruence extension property as well as various alternations of these properties are investigated in connection with weak congruence lattices. Characterizations of weak congruence lattices of special classes of algebras and varieties, as unary algebras, lattices, groups, Hamiltonian algebras and others are given.
Nemati, Navid. "Syzygies : algebra, combinatorics and geometry". Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS284.
Pełny tekst źródłaCastelnuovo-Mumford regularity is one of the main numerical invariants that measure the complexity of the structure of homogeneous finitely generated modules over polynomial rings. It measures the maximum degrees of generators of the syzygies. In this thesis we study the Castelnuovo-Mumford regularity with different points of view and, in some parts, we mainly focus on linear syzygies. In Chapter 2 we study the regularity of Koszul homologies and Koszul cycles of one dimensional quotients. In Chapter 3 we study the weak and strong Lefschetz properties of a class of artinain monomial ideals. We show how the structure of the minimal free resolution could force weak or strong Lefschetz properties. In Chapter 4 and 5we study two different asymptotic behavior of Castelnuovo-Mumford regularity. In Chapter 4 we work on a quotient of a standard graded Noetherian algebra by homogeneous regular sequence. It is a celebrated result that the regularity of powers of an ideal in a polynomial ring becomes a linear function. In Chapter 5, we study the regularity of powers of dumbbell graphs. In Chapter 6, we work on product of projective spaces. In the begining of this chapter, we present a package for the computer software Macaulay2. Furthermore, we study the cohomologies of the “complete intersections'' in Pn x Pm
Warkentin, Matthias. "Fadenmoduln über Ãn und Cluster-Kombinatorik". Master's thesis, Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-94793.
Pełny tekst źródłaAngeregt durch Arbeiten zu Cluster-Algebren von Hubery [Hub] und Fomin, Shapiro und Thurston [FST06] konstruieren wir eine Bijektion zwischen gewissen Kurven auf einem Zylinder und den Fadenmoduln über einer Wege-Algebra vom Typ Ãn. Wir zeigen, daß unter dieser Bijektion sowohl irreduzible Abbildungen als auch die Auslander-Reiten-Verschiebung eine geometrische Interpretation haben. Weiterhin beweisen wir, daß sich die Dimension der Erweiterungsgruppen mittels Anzahlen von Schnittpunkten ausdrücken läßt. Schließlich erklären wir die Verbindung zu Cluster-Algebren und verwenden unsere Ergebnisse um den Austauschgraph im Typ Ãn zu beschreiben
Smirnov, ILIA. "Smooth Complete Intersections with Positive-Definite Intersection Form". Thesis, 2012. http://hdl.handle.net/1974/7602.
Pełny tekst źródłaThesis (Master, Mathematics & Statistics) -- Queen's University, 2012-10-15 13:19:42.654
Tzeng, Uen-Jiun, i 曾溫鈞. "Computing Intersection of Algebraic Surfaces". Thesis, 1993. http://ndltd.ncl.edu.tw/handle/86921541576533980666.
Pełny tekst źródła國立交通大學
資訊工程研究所
81
The evaluation of surface intersections is a recurring operation in geometric and solid modeling. Since algebraic surface have recently become more important, how to efficiently, accurately, and robustly compute the intersection between two algebraic surfaces is a crucial problem. We propose in this thesis an algorithm for computing the intersection of two algebraic surfaces, emphasizing on the issues of robustness and singularities resolution. The algorithm consists of three steps. In the first step, the surface intersection is mapped to a planar curve, say h(x,y)=0, by the monoid computation. The mapping of the surface intersection to a planar curve is advantageous since with the planar curve the singularities can be resolved completely by quadratic transformations. The second step is devoted to the derivation of starting points on each curve component. Loop detection is performed to locate the critical points of the intersection between z=0 and z=h(x,y). Based on the critical points, the (x, y)-space is subdivided selectively and the starting points are obtained as the intersection of the grid boundary and h(x,y)=0. Since the mapping is birational, the starting points on h(x,y)=0 are starting points on the corresponding intersection component. Finally, in the third step, each intersection component is traced from a starting point. The tracing is switched to the tracing of h(x,y)=0 whenever a singularity is encountered, and it is resumed after the singularity is safely passed. The proposed algorithm is able to detect all intersection components and to resolve the singularities completely and systematically. This is achieved at the cost of monoid computations, especially for surfaces of high degree. In the thesis, we also address the implementation issues and experimental results.
Tamvakis, Haralampos. "Arithmetic intersection theory on flag varieties /". 1997. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9729873.
Pełny tekst źródłaMouroukos, Evangelos. "Cohomological connectivity and applications to algebraic cycles /". 1999. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9934095.
Pełny tekst źródłaLi, Qirui. "An intersection number formula for CM-cycles in Lubin-Tate spaces". Thesis, 2018. https://doi.org/10.7916/D8KS880K.
Pełny tekst źródłaField, Rebecca. "On the Chow ring of the classifying space BSO (2n, C) /". 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9978023.
Pełny tekst źródłaSun, Chia-Liang. "The intersection of closure of global points of a semi-abelian variety with a product of local points of its subvarieties". Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-05-2793.
Pełny tekst źródłatext
Blondin, Michael. "Complexité raffinée du problème d'intersection d'automates". Thèse, 2012. http://hdl.handle.net/1866/8440.
Pełny tekst źródłaThe automata non emptiness intersection problem is to determine whether several deterministic finite automata accept a word in common. It is known to be PSPACE-complete (resp. NL-complete) whenever the number of automata is not bounded (resp. bounded by a constant). In this work, we study the complexity of the automata intersection problem for several types of languages and automata such as unary languages, (abelian) group automata, commutative languages and finite languages. We raise the issue of limiting the number of final states to at most two in the automata involved. This way, we obtain relationships with some algebraic problems and an interesting classification of automata intersection problems inside the class P. Finally, we briefly consider the bounded version of the automata intersection problem.
Stevenson, Gregory Steuart Douglas. "Tensor actions and locally complete intersections". Phd thesis, 2011. http://hdl.handle.net/1885/149741.
Pełny tekst źródłaBhargava, Sandeep. "Realizations of BC(r)-graded intersection matrix algebras with grading subalgebras of type B(r), r greater than or equal to 3 /". 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:NR45986.
Pełny tekst źródłaTypescript. Includes bibliographical references (leaves 275-278). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:NR45986
Staic, Mihai D. "Quantum groups at intersection between algebra and geometry". 2007. http://proquest.umi.com/pqdweb?did=1331403881&sid=12&Fmt=2&clientId=39334&RQT=309&VName=PQD.
Pełny tekst źródłaTitle from PDF title page (viewed on Nov. 20, 2007) Available through UMI ProQuest Digital Dissertations. Thesis adviser: Schack, Samuel D. Includes bibliographical references.
Tuncer, Serhan. "Representability of Algebraic CHOW Groups of Complex Projective Complete Intersections and Applications to Motives". Phd thesis, 2010. http://hdl.handle.net/10048/1651.
Pełny tekst źródłaMathematics
Diaz, Humberto Antonio. "Aspects of Motives: Finite-dimensionality, Chow-Kunneth Decompositions and Intersections of Cycles". Diss., 2016. http://hdl.handle.net/10161/12201.
Pełny tekst źródłaThis thesis analyzes the Chow motives of 3 types of smooth projective varieties: the desingularized elliptic self fiber product, the Fano surface of lines on a cubic threefold and an ample hypersurface of an Abelian variety. For the desingularized elliptic self fiber product, we use an isotypic decomposition of the motive to deduce the Murre conjectures. We also prove a result about the intersection product. For the Fano surface of lines, we prove the finite-dimensionality of the Chow motive. Finally, we prove that an ample hypersurface on an Abelian variety possesses a Chow-Kunneth decomposition for which a motivic version of the Lefschetz hyperplane theorem holds.
Dissertation
Lávička, Tomáš. "Klasifikace (in)finitárních logik". Master's thesis, 2015. http://www.nusl.cz/ntk/nusl-350171.
Pełny tekst źródła(9183356), Tan T. Dang. "Topics on the Cohen-Macaulay Property of Rees algebras and the Gorenstein linkage class of a complete intersection". Thesis, 2020.
Znajdź pełny tekst źródłaWe are also interested in the defining ideal of the Rees algebra of a Jacobian module. If the Jacobian module is an ideal, we prove a formula for computing the defining ideal. Using the formula, we give an explicit description of the defining ideal in the monomial case. From there, we characterize the Cohen-Macaulay property of the Rees algebra.
In the last chapter, we study Gorenstein linkage mostly in the graded case. In particular, we give an explicit example of a class of monomial ideals that are in the homogeneous Gorenstein linkage class of a complete intersection. To do so, we prove a Gorenstein double linkage construction that is analogous to Gorenstein biliaison.
Kabiraj, Arpan. "Goldman Bracket : Center, Geometric Intersection Number & Length Equivalent Curves". Thesis, 2016. http://etd.iisc.ac.in/handle/2005/2838.
Pełny tekst źródłaKabiraj, Arpan. "Goldman Bracket : Center, Geometric Intersection Number & Length Equivalent Curves". Thesis, 2016. http://etd.iisc.ernet.in/handle/2005/2838.
Pełny tekst źródłaZeman, Peter. "Algebraické, strukturální a výpočetní vlastnosti geometrických reprezentací grafů". Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-352783.
Pełny tekst źródłaZhao, Wenhua. "Generalizations of two-dimensional conformal field theory : some results on jacobians and intersection numbers /". 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9965182.
Pełny tekst źródłaKoonz, Jennifer. "Properties of singular schubert varieties". 2013. https://scholarworks.umass.edu/dissertations/AAI3603107.
Pełny tekst źródłaLe, Van Dinh. "The broken circuit complex and the Orlik - Terao algebra of a hyperplane arrangement". Doctoral thesis, 2016. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016021714257.
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