Дисертації з теми "Moduli space of vector bundles"
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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.
Moraru, Ruxandra. "Moduli spaces of vector bundles on a Hopf surface, and their stability properties." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=37786.
Повний текст джерелаLo, 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 джерелаDyer, Ben. "NC-algebroid thickenings of moduli spaces and bimodule extensions of vector bundles over NC-smooth schemes." Thesis, University of Oregon, 2018. http://hdl.handle.net/1794/23168.
Повний текст джерелаKaur, Inder [Verfasser]. "The C₁ conjecture for the moduli space of stable vector bundles with fixed determinant on a smooth projective curve / Inder Kaur." Berlin : Freie Universität Berlin, 2017. http://d-nb.info/1131629337/34.
Повний текст джерелаSanna, Giangiacomo. "Rational curves and instantons on the Fano threefold Y_5." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3867.
Повний текст джерелаFernández, 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
Zelaci, Hacen. "Espaces de modules de fibrés vectoriels anti-invariants sur les courbes et blocs conformes." Thesis, Université Côte d'Azur (ComUE), 2017. http://www.theses.fr/2017AZUR4063/document.
Повний текст джерелаLet X be a smooth irreducible projective curve with an involution σ. In this dissertation, we studythe moduli spaces of invariant and anti-invariant vector bundles over X under the induced action of σ. We introduce the notion of σ-quadratic modules and use it, with GIT, to construct these moduli spaces, and than we study some of their main properties. It turn out that these moduli spaces correspond to moduli spaces of parahoric G-torsors on the quotient curve X/σ, for some parahoric Bruhat-Tits group schemes G, which are twisted in the anti-invariant case.We study the Hitchin system over these moduli spaces and use it to derive a classification of theirconnected components using dominant maps from Prym varieties. We also study the determinant of cohomology line bundle on the moduli spaces of anti-invariant vector bundles. In some cases this line bundle admits some square roots called Pfaffian of cohomology line bundles. We prove that the spaces of global sections of the powers of these line bundles (spaces of generalized theta functions) can be canonically identified with the conformal blocks for some twisted affine Kac-Moody Lie algebras of type A(2)
Koeppe, Thomas. "Moduli of bundles on local surfaces and threefolds." Thesis, University of Edinburgh, 2010. http://hdl.handle.net/1842/33315.
Повний текст джерелаHausel, TamaÌs. "Geometry of the moduli space of Higgs bundles." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.397444.
Повний текст джерелаFan, Chun-Lin. "Extensions of stable rank-3 vector bundles on ruled surface /." View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?MATH%202004%20FAN.
Повний текст джерелаIncludes bibliographical references (leaves 20-21). Also available in electronic version. Access restricted to campus users.
Green, Michael Douglas 1965. "Manifolds, Vector Bundles, and Stiefel-Whitney Classes." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc504181/.
Повний текст джерелаPustetto, Andrea. "Semistability and Decorated Bundles." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4093.
Повний текст джерелаWegner, Dimitri [Verfasser], and Christopher [Akademischer Betreuer] Deninger. "On moduli of vector bundles on p-adic curves and attached representations / Dimitri Wegner ; Betreuer: Christopher Deninger." Münster : Universitäts- und Landesbibliothek Münster, 2014. http://d-nb.info/1138282774/34.
Повний текст джерелаMOSSA, ROBERTO. "Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space." Doctoral thesis, Università degli Studi di Cagliari, 2011. http://hdl.handle.net/11584/266274.
Повний текст джерелаKuschkowitz, Mark [Verfasser]. "Equivariant Vector Bundles and Rigid Cohomology on Drinfeld's Upper Half Space over a Finite Field / Mark Kuschkowitz." Wuppertal : Universitätsbibliothek Wuppertal, 2016. http://d-nb.info/112004460X/34.
Повний текст джерелаArcara, Daniele. "Moduli spaces of vector bundles on curves." 2003. http://purl.galileo.usg.edu/uga%5Fetd/arcara%5Fdaniele%5F200305%5Fphd.
Повний текст джерелаReede, Fabian. "Moduli spaces of bundles over two-dimensional orders." Doctoral thesis, 2013. http://hdl.handle.net/11858/00-1735-0000-001A-7778-7.
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 джерелаIena, Oleksandr [Verfasser]. "Modification of Simpson moduli spaces of 1-dimensional sheaves by vector bundles : an experimental example / Oleksandr Iena." 2009. http://d-nb.info/994346085/34.
Повний текст джерелаVANZO, DAVIDE. "Instanton bundles and their moduli spaces." Doctoral thesis, 2017. http://hdl.handle.net/2158/1079371.
Повний текст джерелаKrepski, Derek. "Pre-quantization of the Moduli Space of Flat G-bundles." Thesis, 2009. http://hdl.handle.net/1807/19047.
Повний текст джерелаBaird, Thomas John. "The moduli space of flat G-bundles over a nonorientable surface." 2008. http://link.library.utoronto.ca/eir/EIRdetail.cfm?Resources__ID=742554&T=F.
Повний текст джерелаKeshari, Dinesh Kumar. "Infinitely Divisible Metrics, Curvature Inequalities And Curvature Formulae." Thesis, 2012. http://etd.iisc.ernet.in/handle/2005/2332.
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