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Abelian 1-Calabi-Yau Categories

Adam-Christiaan van Roosmalen
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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.

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BibTeXRIS

Adam-Christiaan van Roosmalen. 2008-02-26. Abelian 1-Calabi-Yau Categories. https://arxiv.org/abs/math/0703457

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