04621nam 2200553 450 991082270650332120220819052057.00-8218-8537-5(CKB)3240000000070087(EBL)3113163(SSID)ssj0000601380(PQKBManifestationID)11353304(PQKBTitleCode)TC0000601380(PQKBWorkID)10565061(PQKB)10746295(MiAaPQ)EBC3113163(RPAM)17114512(PPN)197102077(EXLCZ)99324000000007008720120110h20122012 uy| 0engur|n|---|||||txtccrCompact 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], editorsProvidence, Rhode Island :American Mathematical Society,[2012]©20121 online resource (264 p.)Contemporary mathematics,5640271-4132Description based upon print version of record.0-8218-6899-3 Includes bibliographical references.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 Conics" construction -- 7. Arithmetic break of a hypergraph curve -- 8. Rigid matroids -- 9. Arithmetic break of a "Two Conics" curve - part I -- 10. Arithmetic break of a "Two Conics" 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. Hassett"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. Hitchin's connection and the geometric Segal-Sugawara tensor -- 4. The proof of Proposition 2.2 -- References.Contemporary mathematics,5640271-4132Vector bundlesCongressesModuli theoryCongressesVector bundlesModuli theory514/.22414D2214D2014H1014H6014J10mscAlexeev Valery1964-MiAaPQMiAaPQMiAaPQBOOK9910822706503321Compact moduli spaces and vector bundles847130UNINA