On the Noncommutative Bondal-Orlov Conjecture
Algebraic Geometry
2011-01-20 v1 Representation Theory
Abstract
Let R be a normal, equi-codimensional Cohen-Macaulay ring of dimension with a canonical module. We give a sufficient criterion that establishes a derived equivalence between the noncommutative crepant resolutions of R. When this criterion is always satisfied and so all noncommutative crepant resolutions of R are derived equivalent. Our method is based on cluster tilting theory for commutative algebras, developed in [IW10].
Cite
@article{arxiv.1101.3642,
title = {On the Noncommutative Bondal-Orlov Conjecture},
author = {Osamu Iyama and Michael Wemyss},
journal= {arXiv preprint arXiv:1101.3642},
year = {2011}
}