On steady non-commutative crepant resolutions

Published 30 Sep 2015 in math.RT, math.AC, and math.AG | (1509.09031v3)

Abstract: We introduce special classes of non-commutative crepant resolutions (= NCCR) which we call steady and splitting. We show that a singularity has a steady splitting NCCR if and only if it is a quotient singularity by a finite abelian group. We apply our results to toric singularities and dimer models.

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