Four-dimensional terminal Gorenstein quotient singularities.
type: Item
instance of: scholarly article
title: Four-dimensional terminal Gorenstein quotient singularities.
zbMATH Open document ID: 1059.14003
DOI: 10.1023/A:1024089427608
author: R. E. Anno
published in: Mathematical Notes
publication date: 2004-12-02T00:00:00Z
review text: Let \((X,0)\) be the germ of an isolated singularity and \(\pi:Y\longrightarrow X\) be a resolution with exceptional divisors \(E_1,\ldots,E_n\). The singularity is called terminal if \(mK_X\) is a Cartier divisor for some integer \(m>0\) and \(K_Y \equiv f^*K_X + \sum a_iE_i, a_i>0\) for all i. The finite subgroups \(G \subset \text{Gl}_4(\mathbb C)\) are classified such that \(\mathbb C^4/G\) has only terminal Gorenstein singularities.
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14E30
Mathematics Subject Classification ID: 14J17
zbMATH DE Number: 2120990
zbMATH Keywords: action of a finite subgroup
zbMATH Keywords: Klein group
zbMATH Keywords: irreducible representation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2120990