Dimer models and crepant resolutions
Algebraic Geometry
2013-03-19 v1
Abstract
We study variations of tautological bundles on moduli spaces of representations of quivers with relations associated with dimer models under a change of stability parameters. We prove that if the tautological bundle induces a derived equivalence for some stability parameter, then the same holds for any generic stability parameter, and any projective crepant resolution can be obtained as the moduli space for some stability parameter. This result is used in 0905.0059 to prove the abelian McKay correspondence without using the result of math/9908027.
Cite
@article{arxiv.1303.4028,
title = {Dimer models and crepant resolutions},
author = {Akira Ishii and Kazushi Ueda},
journal= {arXiv preprint arXiv:1303.4028},
year = {2013}
}
Comments
27 pages