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Record Nr. |
UNINA9910788747503321 |
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Autore |
Meltzer Hagen |
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Titolo |
Exceptional vector bundles, tilting sheaves, and tilting complexes for weighted projective lines / / Hagen Meltzer |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2004 |
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©2004 |
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ISBN |
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Descrizione fisica |
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1 online resource (154 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 171, Number 808 |
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Disciplina |
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Soggetti |
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Vector bundles |
Representations of rings (Algebra) |
Homology theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 171, Number 808 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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� |
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