Abelian 1-Calabi-Yau Categories

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dc.creatorvan Roosmalen, Adam-Christiaan
dc.date2007-03-15
dc.date2008-02-26
dc.date.accessioned2026-07-07T09:23:08Z
dc.date.available2026-07-07T09:23:08Z
dc.descriptionIn 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.
dc.description12 pages, as accepted by the International Mathematics Research Notices
dc.identifierhttps://arxiv.org/abs/math/0703457
dc.identifierhttp://arxiv.org/abs/math/0703457
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155623
dc.subjectCategory Theory
dc.subject18E10; 18E30
dc.titleAbelian 1-Calabi-Yau Categories
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