Non-commutative crepant resolutions for some toric singularities I
Algebraic Geometry
2019-03-26 v3 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1701.05255,
title = {Non-commutative crepant resolutions for some toric singularities I},
author = {Špela Špenko and Michel Van den Bergh},
journal= {arXiv preprint arXiv:1701.05255},
year = {2019}
}
Comments
10 pages