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Non-commutative crepant resolutions for some toric singularities I

Published 18 Jan 2017 in math.AG and math.RA | (1701.05255v3)

Abstract: We give a criterion for the existence of non-commutative crepant resolutions (NCCR's) for certain toric singularities. In particular we recover Broomhead's result that a 3-dimensional toric Gorenstein singularity has a NCCR. Our result also yields the existence of a NCCR for a 4-dimensional toric Gorenstein singularity which is known to have no toric NCCR.

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