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On the noncommutative Bondal–Orlov conjecture
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and
Published/Copyright:
March 1, 2012
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
by Iyama and Wemyss (2010).
Received: 2011-02-23
Revised: 2011-12-16
Published Online: 2012-03-01
Published in Print: 2013-10-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Unified approach to the classification of actions of discrete amenable groups on injective factors
- Isoperimetric control of the spectrum of a compact hypersurface
- Weighted divisor sums and Bessel function series. III
- Quasilinear parabolic equations and the Ricci flow on manifolds with boundary
- On the noncommutative Bondal–Orlov conjecture
- Cohomogeneity one actions on symmetric spaces of noncompact type
- Isoparametric functions and exotic spheres
- The rationality of the moduli spaces of trigonal curves of odd genus
- On Nichols algebras of diagonal type
