On the Noncommutative Bondal-Orlov Conjecture

2011/01/19 by Iyama, Osamu, Wemyss, Michael · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1101.3642

Abstract

Let R be a normal, equi-codimensional Cohen-Macaulay ring of dimension d≥ 2 with a canonical module. We give a sufficient criterion that establishes a derived equivalence between the noncommutative crepant resolutions of R. When d≤ 3 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].

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