Non-commutative crepant resolutions for some toric singularities I
classification
🧮 math.AG
math.RA
keywords
toricnccrcrepantdimensionalexistencegorensteinnon-commutativeresolutions
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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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