Partial resolutions of quotient singularities
type: Item
instance of: scholarly article
title: Partial resolutions of quotient singularities
zbMATH Open document ID: 0791.14005
DOI: 10.1007/BF02568325
published in: Manuscripta Mathematica
publication date: 1994-01-31T00:00:00Z
full work available at URL: https://eudml.org/doc/155821
review text: For quotient singularities, the irreducible components of the (reduced) base space of the versal deformation are in one to one correspondence with certain partial resolutions, called \(P\)-resolutions. In this note, the author determines all \(P\)-resolutions for quotient singularities, in fact, with a simple lemma, he reduces the general problem to the special case of cyclic quotient singularities which he studied in a previous paper [cf. Singularity theory and applications. Part I: Geometric aspects of singularities. Proc. Symp., Warwick 1988/89, Lect. Notes Math. 1462, 302-319 (1991; Zbl 0747.14002)].
Mathematics Subject Classification ID: 14E15
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 32S45
zbMATH DE Number: 492774
zbMATH Keywords: \(P\)-resolutions
zbMATH Keywords: quotient singularities
author: Jan Stevens
reviewed by: Vincent Cossart
MaRDI profile type: Publication
cites work: Threefolds and deformations of surface singularities
cites work: Zweidimensionale Quotientensingularitaeten: Gleichungen und Syzygien
cites work: Q3973666
OpenAlex ID: W2058180323
description: scientific article; zbMATH DE number 492774