Two dimensional quotient singularities deform to quotient singularities
type: Item
instance of: scholarly article
title: Two dimensional quotient singularities deform to quotient singularities
zbMATH Open document ID: 0541.14004
DOI: 10.1007/BF01456078
author: Hélène Esnault
author: Eckart Viehweg
published in: Mathematische Annalen
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/163978
review text: As stated in the title we give an affirmative answer to Riemenschneider's conjecture that isolated quotient singularities are stable under deformations. Of course, higher dimensional isolated quotient singularities being rigid (Schlessinger), it is enough to consider the two dimensional case. The proof relies on a characterization of quotient singularities in terms of ''integral parts of \({\mathbb{Q}}\)-divisors'' with support in the exceptional locus of a desingularization.
Mathematics Subject Classification ID: 14B07
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14E15
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14D15
zbMATH DE Number: 3859275
zbMATH Keywords: rigid quotient singularities
zbMATH Keywords: deformation
zbMATH Keywords: exceptional locus of a desingularization
MaRDI profile type: Publication
cites work: Q4143433
cites work: Pluri-canonical divisors on Kähler manifolds
cites work: The topology of normal singularities of an algebraic surface and a criterion for simplicity
cites work: Deformationen von Quotientensingularitäten (nach zyklischen Gruppen)
cites work: Rigidity of quotient singularities
cites work: Vanishing theorems.
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description: scientific article; zbMATH DE number 3859275