LEADER 04621nam 2200553 450 001 9910822706503321 005 20220819052057.0 010 $a0-8218-8537-5 035 $a(CKB)3240000000070087 035 $a(EBL)3113163 035 $a(SSID)ssj0000601380 035 $a(PQKBManifestationID)11353304 035 $a(PQKBTitleCode)TC0000601380 035 $a(PQKBWorkID)10565061 035 $a(PQKB)10746295 035 $a(MiAaPQ)EBC3113163 035 $a(RPAM)17114512 035 $a(PPN)197102077 035 $a(EXLCZ)993240000000070087 100 $a20120110h20122012 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aCompact moduli spaces and vector bundles $econference on compact moduli and vector bundles, October 21-24, 2010, University of Georgia, Athens, Georgia /$fValery Alexeev [and four others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2012] 210 4$dİ2012 215 $a1 online resource (264 p.) 225 1 $aContemporary mathematics,$v564$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-6899-3 320 $aIncludes bibliographical references. 327 $aPreface -- 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 a???A?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, = a??? -- 5. =0, arbitrary and a???=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. 410 0$aContemporary mathematics,$v564$x0271-4132 606 $aVector bundles$vCongresses 606 $aModuli theory$vCongresses 615 0$aVector bundles 615 0$aModuli theory 676 $a514/.224 686 $a14D22$a14D20$a14H10$a14H60$a14J10$2msc 702 $aAlexeev$b Valery$f1964- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822706503321 996 $aCompact moduli spaces and vector bundles$9847130 997 $aUNINA