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arxiv: 1701.05255 · v3 · pith:7S6VDGTWnew · submitted 2017-01-18 · 🧮 math.AG · math.RA

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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