Tilting and cluster tilting for quotient singularities
Representation Theory
2011-02-17 v2 Commutative Algebra
Algebraic Geometry
Abstract
We shall show that the stable categories of graded Cohen-Macaulay modules over quotient singularities have tilting objects. In particular, these categories are triangle equivalent to derived categories of finite dimensional algebras. Our method is based on higher dimensional Auslander-Reiten theory, which gives cluster tilting objects in the stable categories of (ungraded) Cohen-Macaulay modules.
Cite
@article{arxiv.1012.5954,
title = {Tilting and cluster tilting for quotient singularities},
author = {Osamu Iyama and Ryo Takahashi},
journal= {arXiv preprint arXiv:1012.5954},
year = {2011}
}
Comments
31 pages