Littérature scientifique sur le sujet « Algebraic Geometry, Moduli spaces, Vector bundles »
Créez une référence correcte selon les styles APA, MLA, Chicago, Harvard et plusieurs autres
Consultez les listes thématiques d’articles de revues, de livres, de thèses, de rapports de conférences et d’autres sources académiques sur le sujet « Algebraic Geometry, Moduli spaces, Vector bundles ».
À côté de chaque source dans la liste de références il y a un bouton « Ajouter à la bibliographie ». Cliquez sur ce bouton, et nous générerons automatiquement la référence bibliographique pour la source choisie selon votre style de citation préféré : APA, MLA, Harvard, Vancouver, Chicago, etc.
Vous pouvez aussi télécharger le texte intégral de la publication scolaire au format pdf et consulter son résumé en ligne lorsque ces informations sont inclues dans les métadonnées.
Articles de revues sur le sujet "Algebraic Geometry, Moduli spaces, Vector bundles"
Bhosle, Usha N. « Moduli spaces of vector bundles on a real nodal curve ». Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 61, no 4 (19 février 2020) : 615–26. http://dx.doi.org/10.1007/s13366-020-00489-5.
Texte intégralBRADLOW, S. B., O. GARCÍA-PRADA, V. MERCAT, V. MUÑOZ et P. E. NEWSTEAD. « ON THE GEOMETRY OF MODULI SPACES OF COHERENT SYSTEMS ON ALGEBRAIC CURVES ». International Journal of Mathematics 18, no 04 (avril 2007) : 411–53. http://dx.doi.org/10.1142/s0129167x07004151.
Texte intégralLakshmibai, V., K. N. Raghavan, P. Sankaran et P. Shukla. « Standard monomial bases, Moduli spaces of vector bundles, and Invariant theory ». Transformation Groups 11, no 4 (21 octobre 2006) : 673–704. http://dx.doi.org/10.1007/s00031-005-1123-4.
Texte intégralSpies, Alexander. « Poisson-geometric Analogues of Kitaev Models ». Communications in Mathematical Physics 383, no 1 (9 mars 2021) : 345–400. http://dx.doi.org/10.1007/s00220-021-03992-5.
Texte intégralAprodu, Marian, et Vasile Brînzănescu. « Moduli spaces of vector bundles over ruled surfaces ». Nagoya Mathematical Journal 154 (1999) : 111–22. http://dx.doi.org/10.1017/s0027763000025332.
Texte intégralBochnak, J., W. Kucharz et R. Silhol. « Morphisms, line bundles and moduli spaces in real algebraic geometry ». Publications mathématiques de l'IHÉS 86, no 1 (décembre 1997) : 5–65. http://dx.doi.org/10.1007/bf02698900.
Texte intégralBochnak, Jacek, Wojciech Kucharz et Robert Silhol. « Morphisms, line bundles and moduli spaces in real algebraic geometry ». Publications mathématiques de l'IHÉS 92, no 1 (décembre 2000) : 195. http://dx.doi.org/10.1007/bf02698917.
Texte intégralBOLOGNESI, MICHELE, et SONIA BRIVIO. « COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$ ». International Journal of Mathematics 23, no 04 (avril 2012) : 1250037. http://dx.doi.org/10.1142/s0129167x12500371.
Texte intégralSchaffhauser, Florent. « Moduli spaces of vector bundles over a Klein surface ». Geometriae Dedicata 151, no 1 (1 août 2010) : 187–206. http://dx.doi.org/10.1007/s10711-010-9526-3.
Texte intégralSerman, Olivier. « Moduli spaces of orthogonal and symplectic bundles over an algebraic curve ». Compositio Mathematica 144, no 3 (mai 2008) : 721–33. http://dx.doi.org/10.1112/s0010437x07003247.
Texte intégralThèses sur le sujet "Algebraic Geometry, Moduli spaces, Vector bundles"
Costa, Farràs Laura. « Moduli spaces of vector bundles on algebraic varieties ». Doctoral thesis, Universitat de Barcelona, 1998. http://hdl.handle.net/10803/659.
Texte intégralMore precisely, we consider a smooth, irreducible, n-dimensional, projective variety X defined over an algebraically closed field k of characteristic zero, H an ample divisor on X, r >/2 an integer and c-subi H-super2i(X,Z) for i = 1, .,min{r,n}. We denote by M-sub X, H (r; c1,., Cmin{r;n}) the moduli space of rank r, vector bundles E on X, H-stable, in the sense of Mumford-Takemoto, with fixed Chern classes c-subi(E) = c-subi for i = 1, . , min{r, n}.
The contents of this Thesis is the following: Chapter 1 is devoted to provide the reader with the general background that we will need in the sequel. In the first two sections, we have collected the main definitions and results concerning coherent sheaves and moduli spaces, at least, those we will need through this work.
The aim of Chapter 2 is to establish the enterions of rationality for moduli spaces of rank two, it-stable vector bundles on a smooth, irreducible, rational surface X that will be used as one of our tools for answering Question (1), who is that follows: "Let X be a smooth, irreducible, rational surface. Fix C-sub1 Pic(X) and 0 « c2 Z. Is there an ample divisor H on X such that M-sub X,H(2; Ci, c2) is rational?"
In Chapter 3 we prove that the moduli space M-sub X,H(2; Ci, c2) of rank two, H-stable, vector bundles E on a smooth, irreducible, rational surface X, with fixed Chern classes C-sub1(E) = C-sub1 Pic(X) and 0 « C-sub2«(E) Z is a smooth, irreducible, rational, quasi-projective variety (Theorem 3.3.7) which solves Question (1).
In Chapter 4 we study moduli spaces (M-sub X,H(2; Ci, c2)) of rank r, H-stable vector bundles on either minimal rational surfaces or on algebraic K3 surfaces.
In Chapter 5 we deal with moduli spaces M-sub x,l (2;Ci,C2) of rank two, L-stable vector bundles E, on P-bundles of arbitrary dimension, with fixed Chern classes.
Lo, Giudice Alessio. « Some topics on Higgs bundles over projective varieties and their moduli spaces ». Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4100.
Texte intégralGronow, Michael Justin. « Extension maps and the moduli spaces of rank 2 vector bundles over an algebraic curve ». Thesis, Durham University, 1997. http://etheses.dur.ac.uk/5081/.
Texte intégralGaleotti, Mattia Francesco. « Moduli of curves with principal and spin bundles : singularities and global geometry ». Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066485/document.
Texte intégralThe moduli space Mgbar of genus g stable curves is a central object in algebraic geometry. From the point of view of birational geometry, it is natural to ask if Mgbar is of general type. Harris-Mumford and Eisenbud-Harris found that Mgbar is of general type for genus g>=24 and g=22. The case g=23 keep being mysterious. In the last decade, in an attempt to clarify this, a new approach emerged: the idea is to consider finite covers of Mgbar that are moduli spaces of stable curves equipped with additional structure as l-covers (l-th roots of the trivial bundle) or l-spin bundles (l-th roots of the canonical bundle). These spaces have the property that the transition to general type happens to a lower genus. In this work we intend to generalize this approach in two ways: - a study of moduli space of curves with any root of any power of the canonical bundle; - a study of the moduli space of curves with G-covers for any finite group G. In order to define these moduli spaces we use the notion of twisted curve (see Abramovich-Corti-Vistoli). The fundamental result obtained is that it is possible to describe the singular locus of these moduli spaces via the notion of dual graph of a curve. Thanks to this analysis, we are able to develop calculations on the tautological rings of the spaces, and in particular we conjecture that the moduli space of curves with S3-covers is of general type for odd genus g>=13
Schlüeter, Dirk Christopher. « Universal moduli of parabolic sheaves on stable marked curves ». Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:b0260f8e-6654-4bec-b670-5e925fd403dd.
Texte intégralPrata, Daniela Moura 1984. « Representations of quivers and vector bundles over projectives spaces = Representações de quivers e fibrados vetoriais sobre espaços projetivos ». [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306012.
Texte intégralTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
Made available in DSpace on 2018-08-20T05:02:36Z (GMT). No. of bitstreams: 1 Prata_DanielaMoura_D.pdf: 839425 bytes, checksum: 24b3dac76766d8c843d040b951a4376a (MD5) Previous issue date: 2012
Resumo: Neste trabalho relacionamos algumas classes de fibrados vetoriais...Observação: O resumo, na íntegra, poderá ser visualizado no texto completo da tese digital
Abstract: In this work we relate some classes of vector bundles on...Note: The complete abstract is available with the full electronic document
Doutorado
Matematica
Doutor em Matemática
Fernández, Vargas Néstor. « Fibres vectoriels sur des courbes hyperelliptiques ». Thesis, Rennes 1, 2018. http://www.theses.fr/2018REN1S051/document.
Texte intégralThis thesis is devoted to the study of moduli spaces of vector bundles over a smooth algebraic curve over field of complex numbers. The text consist of two main parts : In the first part, I investigate the geometry related to the classifications of rank 2 quasi-parabolic vector bundles over a 2-pointed elliptic curves, modulo isomorphism. The notions of indecomposability, simplicity and stability give rise to the corresponding moduli spaces classifying these objects. The projective structure of these spaces is explicitely described, and we prove a Torelli theorem that allow us to recover the 2-pointed elliptic curve. I also explore the relation with the moduli space of quasi-parabolic vector bundles over a 5-pointed rational curve, appearing naturally as a double cover of the moduli space of quasi-parabolic vector bundles over the 2-pointed elliptic curve. Finally, we show explicitely the modularity of the automorphisms of this moduli space. In the second part, I study the moduli space of semistable rank 2 vector bundles with trivial determinant over a hyperelliptic curve C. More precisely, I am interested in the natural map induced by the determinant line bundle, generator of the Picard group of this moduli space. This map is identified with the theta map, which is of degree 2 in our case. We define a fibration from this moduli space to a projective space whose generic fiber is birational to the moduli space of 2g-pointed rational curves, and we describe the restriction of the map theta to the fibers of this fibration. We show that this restriction is, up to a birational map, an osculating projection centered on a point. By using a description due to Kumar, we show that the restriction of the map theta to this fibration ramifies over the Kummer variety of a certain hyperelliptic curve of genus g - 1
Benedetti, Vladimiro. « Sous-variétés spéciales des espaces homogènes ». Thesis, Aix-Marseille, 2018. http://www.theses.fr/2018AIXM0224/document.
Texte intégralThe aim of this thesis is to construct new interesting complex algebraic Fano varieties and varieties with trivial canonical bundle and to analyze their geometry. In the first part we construct special varieties as zero loci of homogeneous bundles inside generalized Grassmannians. We give a complete classification for varieties of small dimension when the bundle is completely reducible. Thus, we prove that the only fourfolds with trivial canonical bundle so constructed which are hyper-Kahler are the examples of Beauville-Donagi and Debarre-Voisin. The same holds in ordinary Grassmannians when the bundle is irreducible in any dimension. In the second part we use orbital degeneracy loci (ODL), which are a generalization of classical degeneracy loci, to construct new varieties. ODL are constructed from a model, which is usually an orbit closure inside a representation. We recall the fundamental properties of ODL. As an illustration of the construction, we construct three Hilbert schemes of two points on a K3 surface as ODL, and many examples of Calabi-Yau and Fano threefolds and fourfolds. Then we study orbit closures inside quiver representations, and we provide crepant Kempf collapsings for those of type A_n, D_4; this allows us to construct some special varieties as ODL.Finally we focus on a particular class of Fano varieties, namely bisymplectic Grassmannians. These varieties admit the action of a torus with a finite number of fixed points. We find the dimension of their moduli space. We then study the equivariant cohomology of symplectic Grassmannians, which turns out to help understanding better that of bisymplectic ones. We analyze in detail the case of dimension 6
Spinaci, Marco. « Déformations des applications harmoniques tordues ». Phd thesis, Grenoble, 2013. http://tel.archives-ouvertes.fr/tel-00877310.
Texte intégralNevins, Thomas A. « Moduli spaces of framed sheaves on ruled surfaces / ». 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:9965126.
Texte intégralLivres sur le sujet "Algebraic Geometry, Moduli spaces, Vector bundles"
1957-, Bradlow Steve, dir. Moduli spaces and vector bundles. Cambridge : Cambridge University Press, 2009.
Trouver le texte intégralCompact moduli spaces and vector bundles : Conference on compact moduli and vector bundles, October 21-24, 2010, University of Georgia, Athens, Georgia. Providence, R.I : American Mathematical Society, 2012.
Trouver le texte intégralClay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View toward Coherent Sheaves (2006 Cambridge, Mass.). Grassmannians, moduli spaces, and vector bundles : Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View towards Coherent Sheaves, October 6-11, 2006, Cambridge, Massachusetts. Sous la direction de Ellwood D. (David) 1966- et Previato Emma. Providence, RI : American Mathematical Society, 2011.
Trouver le texte intégral1776-1853, Hoene-Wroński Józef Maria, et Pragacz Piotr, dir. Algebraic cycles, sheaves, shtukas, and moduli. Basel : Birkhäuser, 2008.
Trouver le texte intégralModuli spaces and arithmetic dynamics. Providence, R.I : American Mathematical Society, 2012.
Trouver le texte intégralSchneider, Michael, 1942 May 18- et Spindler Heinz 1947-, dir. Vector bundles on complex projective spaces. [New York] : Springer, 2011.
Trouver le texte intégralLuke, Glenys. Vector Bundles and Their Applications. Boston, MA : Springer US, 1998.
Trouver le texte intégral1960-, García-Prada O. (Oscar), dir. Vector bundles and complex geometry : Conference on vector bundles in honor of S. Ramanan on the occasion of his 70th birthday, June 16-20, 2008, Miraflores de la Sierra, Madrid, Spain. Providence, R.I : American Mathematical Society, 2010.
Trouver le texte intégralModuli spaces of Riemann surfaces. Providence, Rhode Island : American Mathematical Society, 2013.
Trouver le texte intégralKlaus, Hulek, dir. Complex algebraic varieties : Proceedings of a conference held in Bayreuth, Germany, April 2-6, 1990. Berlin : Springer-Verlag, 1992.
Trouver le texte intégralChapitres de livres sur le sujet "Algebraic Geometry, Moduli spaces, Vector bundles"
Maruyama, Masaki. « Stable rationality of some moduli spaces of vector bundles on P2 ». Dans Complex Analysis and Algebraic Geometry, 80–89. Berlin, Heidelberg : Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0076996.
Texte intégralLi, Jun. « The Geometry of Moduli Spaces of Vector Bundles over Algebraic Surfaces ». Dans Proceedings of the International Congress of Mathematicians, 508–16. Basel : Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9078-6_44.
Texte intégralTyurin, A. N. « The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type ». Dans Lecture Notes in Mathematics, 166–75. Berlin, Heidelberg : Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0094518.
Texte intégralJost, Jürgen, et Xiao-Wei Peng. « The geometry of moduli spaces of stable vector bundles over riemann surfaces ». Dans Global Differential Geometry and Global Analysis, 79–96. Berlin, Heidelberg : Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0083631.
Texte intégralMaurin, Krzysztof. « Differential Geometry of Holomorphic Vector Bundles over Compact Riemann Surfaces and Kähler manifolds. Stable Vector Bundles, Hermite-Einstein Connections, and their Moduli Spaces ». Dans The Riemann Legacy, 615–47. Dordrecht : Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8939-0_54.
Texte intégralBalaji, V., et P. A. Vishwanath. « On the deformation theory of moduli spaces of vector bundles ». Dans Vector Bundles in Algebraic Geometry, 1–14. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511569319.002.
Texte intégralDrézet, J. M. « Exceptional bundles and moduli spaces of stable sheaves on ℙn ». Dans Vector Bundles in Algebraic Geometry, 101–18. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511569319.005.
Texte intégralHu, Wenyao, et Xiaotao Sun. « Moduli Spaces of Vector Bundles on a Nodal Curve ». Dans Forty Years of Algebraic Groups, Algebraic Geometry, and Representation Theory in China, 241–83. WORLD SCIENTIFIC, 2022. http://dx.doi.org/10.1142/9789811263491_0014.
Texte intégralMARUYAMA, Masaki. « On a Compactification of a Moduli Space of Stable Vector Bundles on a Rational Surface ». Dans Algebraic Geometry and Commutative Algebra, 233–60. Elsevier, 1988. http://dx.doi.org/10.1016/b978-0-12-348031-6.50020-6.
Texte intégral« Chapter VII. Moduli spaces of vector bundles ». Dans Differential Geometry of Complex Vector Bundles, 237–90. Princeton University Press, 1987. http://dx.doi.org/10.1515/9781400858682.237.
Texte intégral