On steady non-commutative crepant resolutions
Representation Theory
2017-06-30 v3 Commutative Algebra
Algebraic Geometry
Abstract
We introduce special classes of non-commutative crepant resolutions (= NCCR) which we call steady and splitting. We show that a singularity has a steady splitting NCCR if and only if it is a quotient singularity by a finite abelian group. We apply our results to toric singularities and dimer models.
Cite
@article{arxiv.1509.09031,
title = {On steady non-commutative crepant resolutions},
author = {Osamu Iyama and Yusuke Nakajima},
journal= {arXiv preprint arXiv:1509.09031},
year = {2017}
}
Comments
10 pages, to appear in J. Noncommut. Geom., v3: improved the readability of the proof of our main theorem, v2: updated the references