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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11492

Title: Abelian 1-Calabi-Yau Categories
Authors: VAN ROOSMALEN, Adam-Christiaan
Issue Date: 2008
Publisher: OXFORD UNIV PRESS
Citation: 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.
URI: http://hdl.handle.net/1942/11492
DOI: 10.1093/imrn/rnn003
ISI #: 000263971400031
ISSN: 1073-7928
Category: A1
Type: Journal Contribution
Validation: ecoom, 2010
Appears in Collections: Research publications

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