Abelian 1-Calabi-Yau Categories

Details Abelian 1-Calabi-Yau Categories Abelian 1-Calabi-Yau Categories

2007-03-15

arxiv.org/abs/math/0703457v2

Mathematics

Category Theory

12 pages, as accepted by the International Mathematics Research Notices

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Abelian 1-Calabi-Yau Categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Abelian 1-Calabi-Yau Categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abelian 1-Calabi-Yau Categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-364123