On steady non-commutative crepant resolutions
type: Item
instance of: scholarly article
title: On steady non-commutative crepant resolutions
zbMATH Open document ID: 1419.16012
DOI: 10.4171/JNCG/283
author: Osamu Iyama
author: Yusuke Nakajima
published in: Journal of Noncommutative Geometry
publication date: 2018-08-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/1509.09031
review text: Summary: 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.
Mathematics Subject Classification ID: 16G50
Mathematics Subject Classification ID: 14A22
Mathematics Subject Classification ID: 14E15
zbMATH DE Number: 6915978
zbMATH Keywords: non-commutative crepant resolutions
zbMATH Keywords: class groups
zbMATH Keywords: quotient singularities
MaRDI profile type: Publication
arXiv ID: 1509.09031
OpenAlex ID: W2963851369
Wikidata QID: Q129780430
description: scientific article