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http://hdl.handle.net/1942/11492
Title: | Abelian 1-Calabi-Yau Categories | Authors: | VAN ROOSMALEN, Adam-Christiaan | Issue Date: | 2008 | Publisher: | OXFORD UNIV PRESS | Source: | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | Abstract: | In this paper, we show all k-linear abelian 1-Calabi-Yau categories over an algebraically closed field k are derived equivalent to either the category of coherent sheaves on an elliptic curve, or to the finite dimensional representations of k[[t]]. Since all abelian categories derived equivalent with these two are known, we obtain a classification of all k-linear abelian 1-Calabi-Yau categories up to equivalence. | Notes: | Hasselt Univ, Res Grp Algebra, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/11492 | ISSN: | 1073-7928 | e-ISSN: | 1687-0247 | DOI: | 10.1093/imrn/rnn003 | ISI #: | 000263971400031 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2010 |
Appears in Collections: | Research publications |
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