Abelian 1-Calabi-Yau categories

Adam Christiaan Van Roosmalen

doi:10.1093/imrn/rnn003

Abelian 1-Calabi-Yau categories

Adam Christiaan Van Roosmalen^*

^*Corresponding author for this work

Hasselt University

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Article number	rnn003
Journal	International Mathematics Research Notices
Volume	2008
Issue number	1
DOIs	https://doi.org/10.1093/imrn/rnn003
Publication status	Published - 2008
Externally published	Yes

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10.1093/imrn/rnn003

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Abelian 1-Calabi-Yau categories

Abstract

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