Compact moduli spaces and vector bundles : conference on compact moduli and vector bundles, October 21-24, 2010, University of Georgia, Athens, Georgia / / Valery Alexeev [and four others], editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2012]; ©2012
• Descrizione fisica: 1 online resource (264 p.)
• Disciplina: 514/.224
• Soggetto topico: Vector bundles; Moduli theory
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): AlexeevValery <1964->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Preface""; ""Talks at the UGA conference""; ""Compact moduli spaces of surfaces of general type""; ""1. Introduction""; ""2. Moduli of stable surfaces""; ""3. Infinitesimal study of the moduli stack""; ""4. Wahl singularities""; ""5. Orbifold double normal crossing singularities""; ""6. Surfaces with boundary""; ""7. Plane curves""; ""8. Exceptional vector bundles associated to degenerations of surfaces""; ""9. Boundary divisors of the moduli space of stable surfaces""; ""10. Relation with Donaldson theory""; ""11. Other examples of boundary divisors""; ""References"" ; ""Rigid curves on \ { }_{0, } and arithmetic breaks""""1. Introduction""; ""2. The Keel-M\textsuperscript{c}Kernan theorem""; ""3. Surfaces in \ { }_{0, } from configurations of points in â??²""; ""4. The hypergraph construction""; ""5. The dual Hesse configuration and a rigid curve on \ { }_{0,12}""; ""6. The “Two Conicsâ€? construction""; ""7. Arithmetic break of a hypergraph curve""; ""8. Rigid matroids""; ""9. Arithmetic break of a “Two Conicsâ€? curve - part I""; ""10. Arithmetic break of a “Two Conicsâ€? curve - part II"" ; ""References""""Algebraic and combinatorial Brill-Noether theory""; ""1. Introduction""; ""2. Algebro-geometric preliminaries""; ""3. Divisor theory on graphs""; ""4. Baker specialization lemma refined""; ""5. Specialization for graphs with loops""; ""6. On the emptyness of Brill-Noether loci""; ""References""; ""GIT constructions of log canonical models of \ { }_{ }""; ""1. Introduction""; ""2. Parameter spaces""; ""3. Finite Hilbert Stability""; ""4. Unstable curves: Degenerate and non-reduced curves""; ""5. Unstable curves: Badly singular curves and special subcurves"" ; ""6. Local study of the moduli spaces of c-semistable and of h-semistable curves""""References""; ""The geometry of the ball quotient model of the moduli space of genus four curves""; ""Introduction""; ""1. Preliminaries on canonical genus 4 curves and cubic 3-folds""; ""2. GIT for =4 curves via cubic 3-folds""; ""3. Stability for canonical genus 4 curves""; ""4. Hassettâ€?Keel Program""; ""5. Ball quotient model for the moduli of genus 4 curves""; ""6. The comparison of the GIT and ball quotient models""; ""References""; ""Two remarks on the Weierstrass flag""; ""1. Introduction"" ; ""2. Linear series of Weierstrass type""""3. On the Weierstrass flags""; ""References""; ""Chern classes of conformal blocks""; ""1. Introduction""; ""2. Conformal blocks""; ""3. The case =0""; ""4. =0, = â??""; ""5. =0, arbitrary and â??=1""; ""6. The case >0""; ""7. Questions""; ""References""; ""Restrictions of stable bundles""; ""References""; ""Orthogonal bundles, theta characteristics and symplectic strange duality""; ""1. Introduction""; ""2. Moduli spaces""; ""3. Hitchinâ€?s connection and the geometric Segal-Sugawara tensor""; ""4. The proof of Proposition 2.2"" ; ""References""
• Titolo autorizzato: Compact moduli spaces and vector bundles
• ISBN: 0-8218-8537-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480300903321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 564.