Готові списки джерел за темами / Syzygie

Добірка наукової літератури з теми "Syzygie"

Автор: Grafiati
Опубліковано: 7 липня 2024
Оновлено: 7 липня 2024

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  2. Дисертації
  3. Книги
  4. Частини книг
  5. Тези доповідей конференцій
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Статті в журналах з теми "Syzygie":

1

Босик, Зоя. "Архетип "Syzygie" в структурі української весільної обрядовості". Українознавство, № 3 (2009): 230–35.

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2

Zapata, Miguel. "La Syzygie : une dynamique de séparation des contraires." Cahiers jungiens de psychanalyse N° 70, no. 3 (January 3, 1991): 26–43. http://dx.doi.org/10.3917/cjung.070.0026.

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3

Salamon, Mariusz A., Michat Zatoń, and Przemysław Gorzelak. "Syzygial brachials from the upper Muschelkalk (Middle Triassic, Ladinian) of Poland and their implication for an early origin of comatulid crinoids." Journal of Paleontology 82, no. 3 (May 2008): 634–37. http://dx.doi.org/10.1666/06-108.1.

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According to Ubaghs (1978), syzygies are brachial articulations in which radiating ridges and furrows on the two joint faces oppose each other rather than interlock as in symplexies. Cryptosyzygies differ from syzygies by having very short ridges that may be replaced by rows of tubercles or granules, with a tendency toward irregular arrangement and disappearance. Among Triassic crinoids, only representatives of the orders Isocrinida Sieverts-Doreck, 1952 and Comatulida Clark, 1908 had cryptosyzygial or syzygial brachial articulation, respectively. According to Rasmussen (1978), among Isocrinidae the articulations of primibrachial 1 and 2 and secundibrachial 1 and 2 were cryptosyzygial or synarthrial (but see also comments in Simms, 1988a). Among Comatulida, syzygial articulations generally occur between brachials 3 and 4 and in more distal arm parts.
4

Kreuzer, Martin, and Markus Kriegl. "Gröbner bases for syzygy modules of border bases." Journal of Algebra and Its Applications 13, no. 06 (April 20, 2014): 1450003. http://dx.doi.org/10.1142/s0219498814500030.

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Given an order ideal 𝒪 and an 𝒪-border basis of a 0-dimensional polynomial ideal, it was shown by Huibregtse that the liftings of the neighbor syzygies (i.e. of the fundamental syzygies of neighboring border terms) form a system of generators for the syzygy module of the border basis. We elaborate on Huibregtse's proof and transform it into explicit algorithmic form. Based on this, we are able to exhibit explicit conditions on a module term ordering τ such that the liftings of the neighbor syzygies are in fact a τ-Gröbner basis. Finally, we construct term orderings satisfying these conditions in an explicit algorithmic way.
5

Crous, P. W., M. J. Wingfield, and W. B. Kendrick. "Foliicolous dematiaceous hyphomycetes from Syzygium cordatum." Canadian Journal of Botany 73, no. 2 (February 1, 1995): 224–34. http://dx.doi.org/10.1139/b95-025.

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During a study of foliicolous fungi on Syzygium cordatum in South Africa, several previously undescribed or unreported fungi were collected. Two new species of Anungitea, Anungitea caespitosa and Anungitea syzygii, are described from leaf litter. An additional four new taxa are also described, Chloridium constrictospora, Parasympodiella elongata, and Vermiculariopsiella spiralis from litter, and Podosporium etheldoidgeae from living leaves. Several saprobic fungi are reported for the first time in South Africa. The morphological variation occurring in Conoplea mangenotii is discussed. Key words: foliicolous fungi, Myrtaceae, systematics, Syzygium cordatum.
6

MONTGOMERY, RICHARD. "The zero angular momentum, three-body problem: All but one solution has syzygies." Ergodic Theory and Dynamical Systems 27, no. 6 (December 2007): 1933–46. http://dx.doi.org/10.1017/s0143385707000338.

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AbstractA syzygy in the three-body problem is a collinear instant. We prove that, with the exception of Lagrange’s solution, every solution to the zero angular momentum, Newtonian three-body problem suffers syzygies. The proof works for all mass ratios.
7

Widodo, Pudji, and Jan Frits Veldkamp. "THE CONFUSING TAXONOMY AND NOMENCLATURE OF SYZYGIUM CONFUSUM COMPLEX (MYRTACEAE)." REINWARDTIA 20, no. 2 (December 29, 2021): 43–49. http://dx.doi.org/10.14203/reinwardtia.v20i2.4160.

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WIDODO, P. & VELDKAMP, J. F. 2021. The confusing taxonomy and nomenclature of Syzygiun confusum complex (Myrtaceae). Reinwardtia 20(2): 43‒49. ― The taxonomic and nomenclatural confusions surrounding the Syzygium confusum complex are elucidated. For that purpose, type specimens are designated and circumscriptions are presented for each species. Typifications, newly characterized descriptions and illustrations are presented for Syzygium korthalsii Widodo, S. confusum (Blume) Bakh.f., S. blumei (Steudel) Merr. & L.M.Perry, S. insigne (Blume) Merr. & L.M.Perry. The new species Syzygium sipirokense Widodo & Veldkamp is described.
8

Ger, Roman. "Symmetry of Syzygies of a System of Functional Equations Defining a Ring Homomorphism." Symmetry 13, no. 12 (December 6, 2021): 2343. http://dx.doi.org/10.3390/sym13122343.

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I deal with an alienation problem for the system of two fundamental Cauchy functional equations with an unknown function f mapping a ring X into an integral domain Y and preserving binary operations of addition and multiplication, respectively. The resulting syzygies obtained by adding (resp. multiplying) these two equations side by side are discussed. The first of these two syzygies was first examined by Jean Dhombres in 1988 who proved that under some additional conditions concering the domain and range rings it forces f to be a ring homomorphism (alienation phenomenon). The novelty of the present paper is to look for sufficient conditions upon f solving the other syzygy to be alien.
9

Watanabe, Junzo. "The syzygies of m-full ideals." Mathematical Proceedings of the Cambridge Philosophical Society 109, no. 1 (January 1991): 7–13. http://dx.doi.org/10.1017/s0305004100069528.

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The concept of an m-full ideal was introduced and studied first by D. Rees (unpublished). In 1983, after having considered and discussed the concept with Professor Rees, the author showed some properties of these ideals in [11], and other authors also have obtained results related to them (cf. [5, 7]). The purpose of this paper is to seek syzygies of m-full ideals and try to analyze their structure. Let a be an m-full ideal, and ᾱ the reduction by a general element. Then it is possible to determine the number of basic syzygies of a in terms of ᾱ. We show that this leads to a method for obtaining a set of basic syzygies of a provided that one for ᾱ is known (Theorem 6). Moreover the entire structure of the syzygy module is known when it is reduced by a general element. It turns out that a/za is the direct sum of ᾱ and copies of the residue field (Corollary 7).
10

HASHIMOTO, MITSUYASU. "CANONICAL AND -CANONICAL MODULES OF A NOETHERIAN ALGEBRA." Nagoya Mathematical Journal 226 (October 20, 2016): 165–203. http://dx.doi.org/10.1017/nmj.2016.44.

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We define canonical and $n$-canonical modules of a module-finite algebra over a Noether commutative ring and study their basic properties. Using $n$-canonical modules, we generalize a theorem on $(n,C)$-syzygy by Araya and Iima which generalize a well-known theorem on syzygies by Evans and Griffith. Among others, we prove a noncommutative version of Aoyama’s theorem which states that a canonical module descends with respect to a flat local homomorphism.
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Статті в журналах Дисертації Книги

Дисертації з теми "Syzygie":

1

González-Mazón, Pablo. "Méthodes effectives pour les transformations birationnelles multilinéaires et contributions à l'analyse polynomiale de données." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4138.

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Cette thèse explore deux sujets distincts à l'intersection de l'algèbre commutative, de la géométrie algébrique, de l'algèbre multilinéaire et de la modélisation géométrique :1. L'étude et la construction effective des transformations birationnelles multilinéaires 2. L'extraction d'informations à partir de données discrètes à l'aide de modèles polynomiaux. La partie principale de ce travail est consacrée aux transformations birationnelles multilinéaires.Une transformation birationnelle multilinéaire est une transformation rationnelle phi : (mathbb{P}^1)^n dashrightarrow{} mathbb{P}^n, définie par des polynômes multilinéaires, qui admet une transformation rationnelle inverse.Les transformations birationnelles entre espaces projectifs constituent un sujet d'étude important de la géométrie algébrique, initié par les travaux fondateurs de Cremona, qui a connu des avancées significatives au cours des dernières décennies.Plus récemment, les transformation birationnelles multiprojectives, c'est-à-dire définies par des polynômes multi-homogènes, ont récemment suscité un regain d'intérêt, motivé notamment par l'étude des structures multigraduées en algèbre commutative et leurs applications pratique en modélisation géométrique.Dans la première partie, nous étudions les aspects algébriques et géométriques des transformations birationales multilinéaires.Nous nous concentrons principalement sur les transformations birationnelles trilinéaires phi : (mathbb{P}^1)^3 dashrightarrow{} mathbb{P}^3 dont nous établissons une classification en fonction de la structure algébrique de leur espace, du lieu base, et des résolutions libres graduées minimales de l'idéal engendré par les polynômes de définition.En outre, nous développons les premières méthodes qui permettent de construire et de manipuler des transformations birationnelles non linéaires en dimension 3 avec une flexibilité suffisante pour les applications visées en modélisation géométrique.De plus, nous établissons une caractérisation de la birationalité basée sur le rang de tenseurs, qui permet de construire efficacement et ouvre la voie à l'application des outils de l'algèbre tensorielle à la birationnalité.Nous étendons également nos résultats aux transformations birationnelles multilinéaires en dimension arbitraire, dans le cas où il existe un inverse multilinéaire.Dans la deuxième partie, nous nous concentrons sur l'application des polynômes à l'analyse des données discrètes.Nous nous attaquons à deux problèmes distincts.Tout d'abord, nous dérivons des bornes pour la taille des (1-epsilon)-nets pour les ensembles de non-négativité de polynômes réels.Nos résultats nous permettent d'étendre le théorème classique du point central aux inégalités polynomiales de degré supérieur.Ensuite, nous abordons la classification des cylindres réels qui passent par cinq points qui sont tels que quatre d'entre eux sont cocycliques, c'est-à-dire qu'ils se trouvent sur un cercle.Il s'agit d'un cas particulier de problèmes plus généraux que sont la classification des racines réelles des systèmes de polynômes réels et l'extraction de primitives algébriques à partir de données brutes
This thesis explores two distinct subjects at the intersection of commutative algebra, algebraic geometry, multilinear algebra, and computer-aided geometric design:1. The study and effective construction of multilinear birational maps2. The extraction of information from measures and data using polynomialsThe primary and most extensive part of this work is devoted to multilinear birational maps.A multilinear birational map is a rational map phi: (mathbb{P}^1)^n dashrightarrow{} mathbb{P}^n, defined by multilinear polynomials, which admits an inverse rational map. Birational transformations between projective spaces have been a central theme in algebraic geometry, tracing back to the seminal works of Cremona, which has witnessed significant advancement in the last decades. Additionally, there has been a recent surge of interest in tensor-product birational maps, driven by the study of multiprojective spaces in commutative algebra and their practical application in computer-aided geometric design.In the first part, we address algebraic and geometric aspects of multilinear birational maps.We primarily focus on trilinear birational maps phi: (mathbb{P}^1)^3 dashrightarrow{} mathbb{P}^3, that we classify according to the algebraic structure of their space, base loci, and the minimal graded free resolutions of the ideal generated by the defining polynomials. Furthermore, we develop the first methods for constructing and manipulating nonlinear birational maps in 3D with sufficient flexibility for geometric modeling and design.Interestingly, we discover a characterization of birationality based on tensor rank, which yields effective constructions and opens the door to the application of tools from tensors to birationality. We also extend our results to multilinear birational maps in arbitrary dimension, in the case that there is a multilinear inverse.In the second part, our focus shifts to the application of polynomials in analyzing data and measures.We tackle two distinct problems. Firstly, we derive bounds for the size of (1-epsilon)-nets for superlevel sets of real polynomials. Our results allow us to extend the classical centerpoint theorem to polynomial inequalities of higher degree. Secondly, we address the classification of real cylinders through five-point configurations where four points are cocyclic, i.e. they lie on a circumference. This is an instance of the more general problems of real root classification of systems of real polynomials and the extraction of algebraic primitives from raw data
2

Ruschel, Magda Rosí. "O estado sizígio de televisão: por uma metodologia de pesquisa do som no audiovisual." Universidade do Vale do Rio do Sinos, 2008. http://www.repositorio.jesuita.org.br/handle/UNISINOS/2626.

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A presente dissertação tem por finalidade estudar o desenho das sonoridades televisivas e a criação de ambiências para programas. Para alcançar tal objetivo, foi necessário um confronto dos pressupostos teóricos e metodológicos, através de uma pesquisa empírica, em que experimento um procedimento metodológico próprio, construído a partir de referenciais teórico de autores como Bergson, Deleuze e Kilpp. A intenção precípua do estudo é atualizar o desenho do som na TV e de redimensionar metodologicamente a pesquisa das audiovisualidades. Para tanto, tomo por base o processamento de infografias que dão a ver a participação do áudio no ritmo audiovisual. Orientando-se sob este foco definido, a dissertação reflete a sonoridade televisiva, considerando-a como intensidades desarticuladas de durações múltiplas sobrepostas em que decorre a instauração das ritmicidade e que constitui e coexiste no estado sizígio pop de televisão
The present dissertation has as the aim of studying the design of the television sonorities and the creation of ambiences for programs. To reach this aim it was necessary to compare the theoretical and methodological postulates, through an empirical research, where I experiment my own methodological procedure, which was constructed based on the theoretical framework of authors like Bergson, Deleuze and Kilpp. The foremost intention of this work is to update the sound design in television and methodologically redirect the research of audiovisualities. In order to do that I take as a basis the processing of infographies that convey the participation of audio in the audiovisual rhythm. Oriented by this defined focus, the dissertation reflects about television sonority, considering it as disarticulated intensities of superimposed multiple durations in which the establishment of the rhythmicity that constitutes and co-exists in the pop syzygie state of television occurs
3

Nemati, Navid. "Syzygies : algebra, combinatorics and geometry." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS284.

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La régularité de Castelnuovo-Mumford est l'un des principaux invariants numériques permettant de mesurer la complexité de la structure des modules gradués de type fini sur des anneaux polynomiaux. Il mesure le degré maximal des générateurs des modules de syzygies. Dans cette thèse, nous étudions la régularité de Castelnuovo-Mumford avec différents points de vue et, dans certaines parties, nous nous concentrons principalement sur les syzygies linéaires. Dans le chapitre 2, nous étudions la régularité des homologies de Koszul et des cycles de Koszul de quotients unidimensionnels. Dans le chapitre 3, nous étudions les propriétés de Lefschetz faibles et fortes d'une classe d'idéaux monomiaux artiniens. Nous donnons, dans certains cas, une réponse affirmative à une conjecture d'Eisenbud, Huneke et Ulrich. Dans les chapitres 4 et 5, nous étudions deux comportements asymptotiques différents de la régularité de Castelnuovo-Mumford. Dans le chapitre 4, nous travaillons sur un quotient d'une algèbre noethérienne standard par suite régulière homogène. Au chapitre 5, nous étudions la régularité des puissances des idéaux monomiaux associés aux graphes en haltère. Dans le chapitre 6, nous travaillons sur des espaces projectifs. Au début de ce chapitre, nous présentons un package pour le logiciel informatique Macaulay2. De plus, nous étudions les cohomologies des "intersections complètes" dans Pnx Pm
Castelnuovo-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
4

Agostini, Daniele. "On syzygies of algebraic varieties with applications to moduli." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19415.

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Diese Dissertation beschäftigt sich mit asymptotischen Syzygien und Gleichungen Abelscher Varietäten, sowie mit deren Anwendung auf zyklische Überdeckungen von Kurven von Geschlecht zwei. Was asymptotischen Syzygien angeht, zeigen wir für beliebige Geradenbündel auf projektiven Schemata: Wenn die asymptotischen Syzygien von Grad p eines Geradenbündels verschwinden, dann ist das Geradenbündel p-sehr ampel. Darüber hinaus verwenden wir die Bridgeland-King-Reid-Haiman Korrespondenz, um zu zeigen, dass dieses Ergebnis auch umgekehrt wahr ist, wenn es um eine glatte Fläche und kleine p geht. Dies dehnt Ergebnisse von Ein-Lazarsfeld und Ein-Lazarsfeld-Yang aus. Wir verwenden unsere Ergebnisse, um zu untersuchen, wie Syzygien verwendet werden können, um den Grad der Irrationalität einer Varietät zu begrenzen. Ferner, beweisen wir eine Vermutung von Gross and Popescu über Abelsche Flächen, deren Ideal durch Quadriken und Kubiken erzeugt wird. Außerdem verwenden wir die projektive Normalität einer Abelschen Fläche, um die Prym Abbildung, die mit zyklischen Überdeckungen von Geschlecht zwei Kurven assoziert ist, zu untersuchen. Wir zeigen, dass das Differential der Abbildung generisch injektiv ist, wenn der Grad der Überdeckung mindestens sieben ist. Wir dehnen damit Ergebnisse von Lange und Ortega aus. Abschließend zeigen wir, dass das Differential genau für bielliptische Überdeckungen nicht injectiv ist.
In this thesis we study asymptotic syzygies of algebraic varieties and equations of abelian surfaces, with applications to cyclic covers of genus two curves. First, we show that vanishing of asymptotic p-th syzygies implies p-very ampleness for line bundles on arbitrary projective schemes. For smooth surfaces we prove that the converse holds, when p is small, by studying the Bridgeland-King-Reid-Haiman correspondence for the Hilbert scheme of points. This extends previous results of Ein-Lazarsfeld and Ein-Lazarsfeld-Yang. As an application of our results, we show how to use syzygies to bound the irrationality of a variety. Furthermore, we confirm a conjecture of Gross and Popescu about abelian surfaces whose ideal is generated by quadrics and cubics. In addition, we use projective normality of abelian surfaces to study the Prym map associated to cyclic covers of genus two curves. We show that the differential of the map is generically injective as soon as the degree of the cover is at least seven, extending a previous result of Lange and Ortega. Moreover, we show that the differentials fails to be injective precisely at bielliptic covers.
5

Lelli-Chiesa, Margherita. "Gieseker-Petri divisors and Brill-Noether theory of K3-sections." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://dx.doi.org/10.18452/16596.

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Diese Dissertation untersucht Brill-Noether-Theorie der algebraischen Kurven, unter besonderer Berücksichtigung von Kurven auf K3-Flächen und Del-Pezzo-Flächen. In Kapitel 2 studieren wir den Gieseker-Petri-Ort GP_g im Modulraum M_g der glatten irreduziblen Kurven vom Geschlecht g. Dieser Ort wird definiert durch Kurven mit einer Brill-Noether-Varietät G^r_d(C), die singulär ist oder deren Dimension größer als erwartet ist. Der Satz von Gieseker-Petri impliziert, dass GP_g mindestens Kodimension 1 hat, und es wurde vermutet, dass er von reiner Kodimension 1 ist. Wir beweisen diese Vermutung für Geschlecht höchstens 13. Dies wird dadurch ermöglicht, dass man für kleine Geschlechter die Dimension der irreduziblen Komponenten von GP_g mittels "ad hoc"-Beweisführungen untersuchen kann. Lazarsfelds Beweis des Gieseker-Petri-Theorems mittels Kurven auf allgemeninen K3-Flächen deutet darauf hin, dass die Brill-Noether-Theorie von K3-Schnitten wichtig ist, um den Gieseker-Petri-Ort besser zu verstehen. Linearscharen von Kurven, die auf K3-Flächen liegen, stehen in tiefgehender Beziehung zu sogenannten Lazarsfeld-Mukai-Vektorbündeln. In Kapitel 3 untersuchen wir die Stabilität der Lazarsfeld-Mukai-Vektorbündel vom Rang 3 auf einer K3-Fläche S, und wir zeigen, dass sie viele Informationen über Netze vom Typ g^2_d auf Kurven in S enthalten. Wenn d größ genug ist, erhalten wir eine obere Schranke für die Dimension der Varietät G^2_d(C). Wenn die Brill-Noether-Zahl negativ ist, beweisen wir, dass jedes g^2_d in einer von einem Geradenbündel induzierten Linearschar enthalten ist, wie von Donagi und Morrison vermutet wurde. Kapitel 4 befasst sich mit Syzygien einer gegebenen Kurve C, die auf einer Del-Pezzo-Fläche liegt. Wir insbesondere, dass C die Greens Vermutung erfüllt, die impliziert, dass die Existenz gewisser spezieller Linearscharen auf C von den Gleichungen ihrer kanonischen Einbettung abgelesen werden kann.
We investigate Brill-Noether theory of algebraic curves, with special emphasis on curves lying on $K3$ surfaces and Del Pezzo surfaces. In Chapter 2, we study the Gieseker-Petri locus GP_g inside the moduli space M_g of smooth, irreducible curves of genus g. This consists, by definition, of curves [C] in M_g such that for some r, d the Brill-Noether variety G^r_d(C), which parametrizes linear series of type g^r_d on C, either is singular or has some components exceeding the expected dimension. The Gieseker-Petri Theorem implies that GP_g has codimension at least 1 in M_g and it has been conjectured that it has pure codimension 1. We prove this conjecture up to genus 13; this is possible since, when the genus is low enough, one is able to determine the irreducible components of GP_g and to study their codimension by "ad hoc" arguments. Lazarsfeld''s proof of the Gieseker-Petri-Theorem by specialization to curves lying on general K3 surfaces suggests the importance of the Brill-Noether theory of K3-sections for a better understanding of the Gieseker-Petri locus. Linear series on curves lying on a K3 surface are deeply related to the so-called Lazarsfeld-Mukai bundles. In Chapter 3, we study the stability of rank-3 Lazarsfeld-Mukai bundles on a K3 surface S, and show it encodes much information about nets of type g^2_d on curves C contained in S. When d is large enough and C is general in its linear system, we obtain a dimensional statement for the variety G^2_d(C). If the Brill-Noether number is negative, we prove that any g^2_d is contained in a linear series which is induced from a line bundle on S, as conjectured by Donagi and Morrison. Chapter 4 concerns syzygies of any given curve C lying on a Del Pezzo surface S. In particular, we prove that C satisfies Green''s Conjecture, which implies that the existence of some special linear series on C can be read off the equations of its canonical embedding.
6

Dohm, Marc. "Implicitisation de surfaces algébriques rationnelles avec la méthode des syzygies." Phd thesis, Université de Nice Sophia-Antipolis, 2008. http://tel.archives-ouvertes.fr/tel-00294484.

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L'implicitisation d'une surface algébrique rationnelle, c'est-à-dire le passage de la paramétrisation à une représentation implicite, est un
problème géométrique classique. Dans ce travail de thèse, nous utilisons la théorie des syzygies pour représenter implicitement une surface par une matrice dont les mineurs de taille maximale ont l'équation implicite comme plus grand diviseur commun. Dans les deux premiers chapitres, nous traitons deux classes de surfaces spéciales pour lesquelles il est toujours possible de construire une matrice carrée qui correspond au résultant d'une μ-base : les surfaces réglées et les surfaces canales. Dans les chapitres suivants, le cas général de surfaces rationnelles paramétrées sur une variété torique de dimension 2 est étudié. Nous montrons qu'une telle matrice peut être construite en n'utilisant que des syzygies linéaires et nous décrivons un algorithme simple et efficace pour son calcul.
7

Bouzeghoub, Mohamed Arezki. "Elimination des syzygies inutiles dans le calcul des bases de Groebner." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb376122834.

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8

Stewart, Paul Nathan. "Stellar Astrophysics With Cassini: Syzygies, Stardust, and the Sizes Of Stars." Thesis, The University of Sydney, 2016. http://hdl.handle.net/2123/14517.

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The Cassini spacecraft has been exploring the complex and fascinating Saturnian system for over a decade. This thesis presents Cassini observations employed for the study of evolved stars. Utilising the on-board near-infrared spectrometer, we demonstrate the recovery of flux calibrated stellar spectra. Data were taken from a publicly-accessible archive, and the overwhelming majority were obtained for various spacecraft engineering and calibration purposes; their application to stellar astrophysics being an opportunistic extension to the mission outcomes. An atlas of stellar spectra has been compiled utilising existing observations acquired to monitor the performance of the instrument. Exploiting archival observations of stars as they are occulted by edges within Saturn’s rings, we demonstrate the recovery of stellar spatial information, specifically angular diameters, and compare these to measurements from ground-based interferometry. High-resolution two-dimensional images of stellar environments are reconstructed by tomographically combining these occultation observations from different edges within the planetary rings. An extensive astrophysical study of the evolved star Mira employing all of these techniques over multiple epochs reveals spectrally dependant molecular shells in its extended atmosphere, and allows for the appraisal of state-of-the-art models which aim to describe the atmospheres of such stars. Finally, the carbon star, IRC+10216 is shown to be embedded in a dynamic shroud of thick dusty circumstellar clouds, challenging existing models of the inner structure of the stellar environment.
9

Sengupta, Indranath. "Betti Numbers, Grobner Basis And Syzygies For Certain Affine Monomial Curves." Thesis, Indian Institute of Science, 2000. https://etd.iisc.ac.in/handle/2005/271.

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Let e > 3 and mo,... ,me_i be positive integers with gcd(m0,... ,me_i) = 1, which form an almost arithmetic sequence, i.e., some e - 1 of these form an arithmetic progression. We further assume that m0,... ,mc_1 generate F := Σ e-1 I=0 Nmi minimally. Note that any three integers and also any arithmetic progression form an almost arithmetic sequence. We assume that 0 < m0 < • • • < me-2 form an arithmetic progression and n := mc-i is arbitrary Put p := e - 2. Let K be a field and XQ) ... ,Xj>, Y,T be indeterminates. Let p denote the kernel of the if-algebra homomorphism η: K[XQ, ..., XV) Y) -* K^T], defined by r){Xi) = Tm\.. .η{Xp) = Tmp, η](Y) = Tn. Then, p is the defining ideal for the affine monomial curve C in A^, defined parametrically by Xo = Trr^)...)Xv = T^}Y = T*. Furthermore, p is a homogeneous ideal with respect to the gradation on K[X0)... ,XP,F], given by wt(Z0) = mo, • • •, wt(Xp) = mp, wt(Y) = n. Let 4 := K[XQ> ...,XP) Y)/p denote the coordinate ring of C. With the assumption ch(K) = 0, in Chapter 1 we have derived an explicit formula for μ(DerK(A)), the minimal number of generators for the A-module DerK(A), the derivation module of A. Furthermore, since type(A) = μ(DerK(A)) — 1 and the last Betti number of A is equal to type(A), we therefore obtain an explicit formula for the last Betti number of A as well A minimal set of binomial generatorsG for the ideal p had been explicitly constructed by PatiL In Chapter 2, we show that the set G is a Grobner basis with respect to grevlex monomial ordering on K[X0)..., Xp, Y]. As an application of this observation, in Chapter 3 we obtain an explicit minimal free resolution for affine monomial curves in A4K defined by four coprime positive integers mo,.. m3, which form a minimal arithmetic progression. (Please refer the pdf file forformulas)
10

Sengupta, Indranath. "Betti Numbers, Grobner Basis And Syzygies For Certain Affine Monomial Curves." Thesis, Indian Institute of Science, 2000. http://hdl.handle.net/2005/271.

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Let e > 3 and mo,... ,me_i be positive integers with gcd(m0,... ,me_i) = 1, which form an almost arithmetic sequence, i.e., some e - 1 of these form an arithmetic progression. We further assume that m0,... ,mc_1 generate F := Σ e-1 I=0 Nmi minimally. Note that any three integers and also any arithmetic progression form an almost arithmetic sequence. We assume that 0 < m0 < • • • < me-2 form an arithmetic progression and n := mc-i is arbitrary Put p := e - 2. Let K be a field and XQ) ... ,Xj>, Y,T be indeterminates. Let p denote the kernel of the if-algebra homomorphism η: K[XQ, ..., XV) Y) -* K^T], defined by r){Xi) = Tm\.. .η{Xp) = Tmp, η](Y) = Tn. Then, p is the defining ideal for the affine monomial curve C in A^, defined parametrically by Xo = Trr^)...)Xv = T^}Y = T*. Furthermore, p is a homogeneous ideal with respect to the gradation on K[X0)... ,XP,F], given by wt(Z0) = mo, • • •, wt(Xp) = mp, wt(Y) = n. Let 4 := K[XQ> ...,XP) Y)/p denote the coordinate ring of C. With the assumption ch(K) = 0, in Chapter 1 we have derived an explicit formula for μ(DerK(A)), the minimal number of generators for the A-module DerK(A), the derivation module of A. Furthermore, since type(A) = μ(DerK(A)) — 1 and the last Betti number of A is equal to type(A), we therefore obtain an explicit formula for the last Betti number of A as well A minimal set of binomial generatorsG for the ideal p had been explicitly constructed by PatiL In Chapter 2, we show that the set G is a Grobner basis with respect to grevlex monomial ordering on K[X0)..., Xp, Y]. As an application of this observation, in Chapter 3 we obtain an explicit minimal free resolution for affine monomial curves in A4K defined by four coprime positive integers mo,.. m3, which form a minimal arithmetic progression. (Please refer the pdf file forformulas)
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Книги з теми "Syzygie":

1

Pharos, Philotheos. Syzygia. [Athēna]: Akritas, 1987.

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2

Evans, E. Graham. Syzygies. Cambridge [Cambridgeshire]: Cambridge University Press, 1985.

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3

Peeva, Irena. Graded Syzygies. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-177-6.

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4

Peeva, Irena. Graded Syzygies. London: Springer-Verlag London Limited, 2011.

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5

Johnson, F. E. A. Syzygies and Homotopy Theory. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2294-4.

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6

Irena, Peeva, ed. Syzygies and Hilbert functions. Boca Raton: Chapman & Hall/CRC, 2007.

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7

Bak, Louise. Syzygy. Montréal: DC Books, 2011.

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8

John, Kinsella. Syzygy. South Fremantle, W.A: Fremantle Arts Centre Press, 1993.

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9

Weyman, Jerzy. Cohomology of vector bundles and syzygies. Cambridge: Cambridge University Press, 2003.

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10

Rhoidēs, Emmanouēl D. Psychologia Syrianou syzygou. [Athens]: Kedros, 1993.

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Частини книг з теми "Syzygie":

1

Lier, Doris. "Syzygie." In Wörterbuch der Psychotherapie, 692–93. Vienna: Springer Vienna, 2000. http://dx.doi.org/10.1007/978-3-211-99131-2_1903.

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2

Lescot, Jack. "Séries de Bass des modules de syzygie." In Lecture Notes in Mathematics, 277–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075467.

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3

Peeva, Irena. "Graded Free Resolutions." In Graded Syzygies, 1–158. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-177-6_1.

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4

Peeva, Irena. "Hilbert Functions." In Graded Syzygies, 159–204. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-177-6_2.

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5

Peeva, Irena. "Monomial Resolutions." In Graded Syzygies, 205–54. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-177-6_3.

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6

Peeva, Irena. "Syzygies of Toric Ideals." In Graded Syzygies, 255–87. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-177-6_4.

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7

Bueso, José, José Gómez-Torrecillas, and Alain Verschoren. "Syzygies and applications." In Algorithmic Methods in Non-Commutative Algebra, 203–37. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0285-0_6.

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8

Eisenbud, David, and Irena Peeva. "Far-Out Syzygies." In Minimal Free Resolutions over Complete Intersections, 63–83. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26437-0_6.

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9

Johnson, F. E. A. "Preliminaries." In Syzygies and Homotopy Theory, 3–12. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2294-4_1.

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10

Johnson, F. E. A. "Group Rings of Cyclic Groups." In Syzygies and Homotopy Theory, 175–83. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2294-4_10.

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Тези доповідей конференцій з теми "Syzygie":

1

Duarte, Eliana, and Daniel Lichtblau. "Polynomial GCDs by Syzygies." In 2016 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, 2016. http://dx.doi.org/10.1109/synasc.2016.021.

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2

Möller, H. Michael, Teo Mora, and Carlo Traverso. "Gröbner bases computation using syzygies." In Papers from the international symposium. New York, New York, USA: ACM Press, 1992. http://dx.doi.org/10.1145/143242.143343.

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3

Malbos, Philippe, and Isaac Ren. "Completion in Operads via Essential Syzygies." In ISSAC '21: International Symposium on Symbolic and Algebraic Computation. New York, NY, USA: ACM, 2021. http://dx.doi.org/10.1145/3452143.3465552.

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4

Cabarcas, Daniel, and Jintai Ding. "Linear algebra to compute syzygies and Gröbner bases." In the 36th international symposium. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/1993886.1993902.

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5

SUNARTI, SITI. "Persebaran Syzygium endemik Jawa." In Seminar Nasional Masyarakat Biodiversitas Indonesia. Masyarakat Biodiversitas Indonesia, 2015. http://dx.doi.org/10.13057/psnmbi/m010521.

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6

Schreyer, Frank-Olaf, and David Eisenbud. "Betti Numbers of Syzygies and Cohomology of Coherent Sheaves." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0065.

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7

Charalambous, Hara, Kostas Karagiannis, Sotiris Karanikolopoulos, and Aristides Kontogeorgis. "Syzygies of ideals of polynomial rings over principal ideal domains." In ISSAC '20: International Symposium on Symbolic and Algebraic Computation. New York, NY, USA: ACM, 2020. http://dx.doi.org/10.1145/3373207.3404046.

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8

Busé, Laurent, and Marc Dohm. "Implicitization of bihomogeneous parametrizations of algebraic surfaces via linear syzygies." In the 2007 international symposium. New York, New York, USA: ACM Press, 2007. http://dx.doi.org/10.1145/1277548.1277559.

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9

WANG, MINGSHENG, and C. P. KWONG. "COMPUTING GCLF USING SYZYGY ALGORITHM." In Proceedings of the First International Congress of Mathematical Software. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777171_0010.

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10

dos SANTOS, D. M., R. D. SÁ, and K. P. RANDAU. "ANATOMIA DA LÂMINA FOLIAR DE SYZYGIUM CUMINIL." In ANAIS DO 5º ENCONTRO BRASILEIRO PARA INOVAçãO TERAPêUTICA. Galoa, 2017. http://dx.doi.org/10.17648/ebit-2017-85645.

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Звіти організацій з теми "Syzygie":

1

Carr, Herbert M. From Containment to ... Syzygy? Fort Belvoir, VA: Defense Technical Information Center, April 1995. http://dx.doi.org/10.21236/ada295570.

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