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VOL. 74 | 2017 Existence of crepant resolutions
Toshihiro Hayashi, Yukari Ito, Yuhi Sekiya

Editor(s) Keiji Oguiso, Caucher Birkar, Shihoko Ishii, Shigeharu Takayama

## Abstract

Let $G$ be a finite subgroup of $\operatorname{SL}(n,\mathbb{C})$, then the quotient $\mathbb{C}^n/G$ has a Gorenstein canonical singularity. If $n=2\ \text{or}\ 3$, it is known that there exist crepant resolutions of the quotient singularity. In higher dimension, there are many results which assume existence of crepant resolutions. However, few examples of crepant resolutions are known. In this paper, we will show several trials to obtain crepant resolutions and give a conjecture on existence of crepant resolutions.

## Information

Published: 1 January 2017
First available in Project Euclid: 23 October 2018

zbMATH: 1388.14051
MathSciNet: MR3791214

Digital Object Identifier: 10.2969/aspm/07410185

Subjects:
Primary: 13P10, 14C05, 14L30
Secondary: 14E15, 14M25