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Статті в журналах з теми "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 (February 19, 2020): 615–26. http://dx.doi.org/10.1007/s13366-020-00489-5.
Повний текст джерелаBRADLOW, S. B., O. GARCÍA-PRADA, V. MERCAT, V. MUÑOZ, and P. E. NEWSTEAD. "ON THE GEOMETRY OF MODULI SPACES OF COHERENT SYSTEMS ON ALGEBRAIC CURVES." International Journal of Mathematics 18, no. 04 (April 2007): 411–53. http://dx.doi.org/10.1142/s0129167x07004151.
Повний текст джерелаLakshmibai, V., K. N. Raghavan, P. Sankaran, and P. Shukla. "Standard monomial bases, Moduli spaces of vector bundles, and Invariant theory." Transformation Groups 11, no. 4 (October 21, 2006): 673–704. http://dx.doi.org/10.1007/s00031-005-1123-4.
Повний текст джерелаSpies, Alexander. "Poisson-geometric Analogues of Kitaev Models." Communications in Mathematical Physics 383, no. 1 (March 9, 2021): 345–400. http://dx.doi.org/10.1007/s00220-021-03992-5.
Повний текст джерелаAprodu, Marian, and Vasile Brînzănescu. "Moduli spaces of vector bundles over ruled surfaces." Nagoya Mathematical Journal 154 (1999): 111–22. http://dx.doi.org/10.1017/s0027763000025332.
Повний текст джерелаBochnak, J., W. Kucharz, and R. Silhol. "Morphisms, line bundles and moduli spaces in real algebraic geometry." Publications mathématiques de l'IHÉS 86, no. 1 (December 1997): 5–65. http://dx.doi.org/10.1007/bf02698900.
Повний текст джерелаBochnak, Jacek, Wojciech Kucharz, and Robert Silhol. "Morphisms, line bundles and moduli spaces in real algebraic geometry." Publications mathématiques de l'IHÉS 92, no. 1 (December 2000): 195. http://dx.doi.org/10.1007/bf02698917.
Повний текст джерелаBOLOGNESI, MICHELE, and SONIA BRIVIO. "COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$." International Journal of Mathematics 23, no. 04 (April 2012): 1250037. http://dx.doi.org/10.1142/s0129167x12500371.
Повний текст джерелаSchaffhauser, Florent. "Moduli spaces of vector bundles over a Klein surface." Geometriae Dedicata 151, no. 1 (August 1, 2010): 187–206. http://dx.doi.org/10.1007/s10711-010-9526-3.
Повний текст джерелаSerman, Olivier. "Moduli spaces of orthogonal and symplectic bundles over an algebraic curve." Compositio Mathematica 144, no. 3 (May 2008): 721–33. http://dx.doi.org/10.1112/s0010437x07003247.
Повний текст джерелаДисертації з теми "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.
Повний текст джерелаMore 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.
Повний текст джерелаGronow, 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/.
Повний текст джерелаGaleotti, Mattia Francesco. "Moduli of curves with principal and spin bundles : singularities and global geometry." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066485/document.
Повний текст джерелаThe 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.
Повний текст джерелаPrata, 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.
Повний текст джерелаTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Doutorado
Matematica
Doutor em Matemática
Fernández, Vargas Néstor. "Fibres vectoriels sur des courbes hyperelliptiques." Thesis, Rennes 1, 2018. http://www.theses.fr/2018REN1S051/document.
Повний текст джерелаThis 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.
Повний текст джерелаThe 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.
Повний текст джерелаNevins, 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.
Повний текст джерелаКниги з теми "Algebraic Geometry, Moduli spaces, Vector bundles"
1957-, Bradlow Steve, ed. Moduli spaces and vector bundles. Cambridge: Cambridge University Press, 2009.
Знайти повний текст джерелаAlexeev, Valery. Compact 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.
Знайти повний текст джерелаClay 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. Edited by Ellwood D. (David) 1966- and Previato Emma. Providence, RI: American Mathematical Society, 2011.
Знайти повний текст джерела1776-1853, Hoene-Wroński Józef Maria, and Pragacz Piotr, eds. Algebraic cycles, sheaves, shtukas, and moduli. Basel: Birkhäuser, 2008.
Знайти повний текст джерелаModuli spaces and arithmetic dynamics. Providence, R.I: American Mathematical Society, 2012.
Знайти повний текст джерелаSchneider, Michael, 1942 May 18- and Spindler Heinz 1947-, eds. Vector bundles on complex projective spaces. [New York]: Springer, 2011.
Знайти повний текст джерелаLuke, Glenys. Vector Bundles and Their Applications. Boston, MA: Springer US, 1998.
Знайти повний текст джерела1960-, García-Prada O. (Oscar), ed. 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.
Знайти повний текст джерелаHain, Richard M., Eduard Looijenga, and Benson Farb. Moduli spaces of Riemann surfaces. Providence, Rhode Island: American Mathematical Society, 2013.
Знайти повний текст джерелаKlaus, Hulek, ed. Complex algebraic varieties: Proceedings of a conference held in Bayreuth, Germany, April 2-6, 1990. Berlin: Springer-Verlag, 1992.
Знайти повний текст джерелаЧастини книг з теми "Algebraic Geometry, Moduli spaces, Vector bundles"
Maruyama, Masaki. "Stable rationality of some moduli spaces of vector bundles on P2." In Complex Analysis and Algebraic Geometry, 80–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0076996.
Повний текст джерелаLi, Jun. "The Geometry of Moduli Spaces of Vector Bundles over Algebraic Surfaces." In 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.
Повний текст джерелаTyurin, A. N. "The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type." In Lecture Notes in Mathematics, 166–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0094518.
Повний текст джерелаJost, Jürgen, and Xiao-Wei Peng. "The geometry of moduli spaces of stable vector bundles over riemann surfaces." In Global Differential Geometry and Global Analysis, 79–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0083631.
Повний текст джерелаMaurin, Krzysztof. "Differential Geometry of Holomorphic Vector Bundles over Compact Riemann Surfaces and Kähler manifolds. Stable Vector Bundles, Hermite-Einstein Connections, and their Moduli Spaces." In The Riemann Legacy, 615–47. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8939-0_54.
Повний текст джерелаBalaji, V., and P. A. Vishwanath. "On the deformation theory of moduli spaces of vector bundles." In Vector Bundles in Algebraic Geometry, 1–14. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511569319.002.
Повний текст джерелаDrézet, J. M. "Exceptional bundles and moduli spaces of stable sheaves on ℙn." In Vector Bundles in Algebraic Geometry, 101–18. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511569319.005.
Повний текст джерелаHu, Wenyao, and Xiaotao Sun. "Moduli Spaces of Vector Bundles on a Nodal Curve." In 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.
Повний текст джерелаMARUYAMA, Masaki. "On a Compactification of a Moduli Space of Stable Vector Bundles on a Rational Surface." In Algebraic Geometry and Commutative Algebra, 233–60. Elsevier, 1988. http://dx.doi.org/10.1016/b978-0-12-348031-6.50020-6.
Повний текст джерела"Chapter VII. Moduli spaces of vector bundles." In Differential Geometry of Complex Vector Bundles, 237–90. Princeton University Press, 1987. http://dx.doi.org/10.1515/9781400858682.237.
Повний текст джерела