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 | |
| Publication status | Published - 2008 |
| Externally published | Yes |