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http://hdl.handle.net/1942/2184
Title: | Three-dimensional flops and noncommutative rings | Authors: | VAN DEN BERGH, Michel | Issue Date: | 2004 | Publisher: | DUKE UNIV PRESS | Source: | DUKE MATHEMATICAL JOURNAL, 122(3). p. 423-455 | Abstract: | For Y, Y+ three-dimensional smooth varieties related by a flop, Bondal and Orlov conjectured that the derived categories D-b (coh(Y)) and D-b (coh(Y+)) are equivalent. This conjecture was recently proved by Bridgeland. Our aim in this paper is to give a partially new proof of Bridgeland's result using noncommutative rings. The new proof also covers some mild singular and higher-dimensional situations (including those occuring in the recent paper by Chen [11]). | Notes: | Limburgs Univ Ctr, Dept Math, B-3590 Diepenbeek, Belgium.Van den Bergh, M, Limburgs Univ Ctr, Dept Math, Univ Campus, B-3590 Diepenbeek, Belgium.vdbergh@luc.ac.be | Document URI: | http://hdl.handle.net/1942/2184 | ISSN: | 0012-7094 | e-ISSN: | 1547-7398 | DOI: | 10.1215/S0012-7094-04-12231-6 | ISI #: | 000221392500001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2005 |
Appears in Collections: | Research publications |
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