Non-commutative crepant resolutions for some toric singularities II
Algebraic Geometry
2018-07-24 v3 Rings and Algebras
Abstract
Using the theory of dimer models Broomhead proved that every 3-dimensional Gorenstein affine toric variety Spec R admits a toric non-commutative crepant resolution (NCCR). We give an alternative proof of this result by constructing a tilting bundle on a (stacky) crepant resolution of Spec R using standard toric methods. Our proof does not use dimer models.
Keywords
Cite
@article{arxiv.1707.08245,
title = {Non-commutative crepant resolutions for some toric singularities II},
author = {Špela Špenko and Michel Van den Bergh},
journal= {arXiv preprint arXiv:1707.08245},
year = {2018}
}
Comments
Fix an undefined notation