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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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.224 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Vector bundles
Moduli theory |
| ISBN | 0-8218-8537-5 |
| Classificazione | 14D2214D2014H1014H6014J10 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 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. |
| Record Nr. | UNINA-9910788636103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.224 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Vector bundles
Moduli theory |
| ISBN | 0-8218-8537-5 |
| Classificazione | 14D2214D2014H1014H6014J10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 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. |
| Record Nr. | UNINA-9910822706503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||