Exceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines / / Hagen Meltzer
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| Autore: |
Meltzer Hagen
|
| Titolo: |
Exceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines / / Hagen Meltzer
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| ©2004 | |
| Descrizione fisica: | 1 online resource (154 p.) |
| Disciplina: | 514.224 |
| Soggetto topico: | Vector bundles |
| Representations of rings (Algebra) | |
| Homology theory | |
| Note generali: | "Volume 171, Number 808 (first of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | ""Contents""; ""Abstract""; ""Chapter 1. Background""; ""Chapter 2. Summary""; ""Chapter 3. Weighted projective lines""; ""3.1. Basic notations""; ""3.2. Exceptional sheaves""; ""3.3. Perpendicular categories""; ""Chapter 4. Mutations of exceptional sequences""; ""4.1. Exceptional sequences""; ""4.2. The braid group action on the set of exceptional sequences""; ""4.3. Transitivity of the braid group action""; ""4.4. Bijections between exceptional sheaves""; ""4.5. Coprimeness of rank and degree""; ""Chapter 5. Tubular mutations"" |
| ""5.1. Mutations as derived equivalences for sheaves on weighted projective lines of genus one""""5.2. Telescopic functors""; ""5.3. Automorphisms of the derived category""; ""Chapter 6. Twisted mutations""; ""6.1. Admissible exceptional pairs""; ""6.2. Twisted mutations of admissible exceptional pairs""; ""Chapter 7. On the number of exceptional vector bundles""; ""7.1. Equations and inequalities for exceptional bundles""; ""7.2. A bound for the number of exceptional bundles of fixed rank and degree""; ""7.3. Omnipresent exceptional vector bundles""; ""Chapter 8. Tilting sheaves"" | |
| ""8.1. Concealed�canonical and almost concealed�canonical algebras""""8.2. Regular components""; ""8.3. The wing decomposition of a tilting bundle""; ""8.4. Non�regular components for concealed�canonical algebras""; ""8.5. Non�regular components for almost concealed�canonical algebras""; ""Chapter 9. Tilting complexes""; ""9.1. Tilting complexes and exceptional sequences""; ""9.2. Tilting complexes for weighted projective lines with parameters""; ""9.3. Branch enlargements of concealed�canonical algebras""; ""9.4. Tilting complexes for domestic weighted projective lines"" | |
| ""9.5. Tilting complexes for tubular weighted projective lines""""Chapter 10. Hyperelliptic weighted projective lines""; ""10.1. Structure of a tilting complex on a hyperelliptic weighted projective line""; ""10.2. Diophantine equations""; ""10.3. Layered algebras""; ""10.4. Tame algebras derived equivalent to hyperelliptic algebras""; ""10.5. Tame algebras derived equivalent to t�subspace problem algebras""; ""10.6. Proofs of the classification results""; ""Bibliography""; ""Index"" | |
| Titolo autorizzato: | Exceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines |
| ISBN: | 1-4704-0409-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788747503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 171, Number 808.