Abelian 1-Calabi-Yau categories

Adam Christiaan Van Roosmalen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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 languageEnglish
Article numberrnn003
JournalInternational Mathematics Research Notices
Issue number1
Publication statusPublished - 2008
Externally publishedYes


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