Equisingular deformations of isolated 2-dimensional hypersurface singularities
type: Item
instance of: scholarly article
title: Equisingular deformations of isolated 2-dimensional hypersurface singularities
zbMATH Open document ID: 0635.14003
DOI: 10.1007/BF01391834
author: Klaus Altmann
published in: Inventiones Mathematicae
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143469
review text: Let \(\pi\) : \(Y\to Spec(R)\) be a good resolution of a hypersurface singularity where \(\dim (R)=2\) and R normal and local. \textit{J. M. Wahl} [Ann. Math., II. Ser. 104, 325-356 (1976; Zbl 0358.14007)] had introduced the functor ES, infinitesimal equisingular deformations. The author introduces in the above situation, a new functor ESE-equisingular embedded deformations - then there is a natural transformation ESE\(\to ES\) and the author gives sufficient conditions for this to be formally smooth. All these are inextricably connected to a study of the Newton polyhedron of the defining equation of R.
Mathematics Subject Classification ID: 14B07
Mathematics Subject Classification ID: 14B10
Mathematics Subject Classification ID: 14B12
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14J17
zbMATH DE Number: 4033884
zbMATH Keywords: infinitesimal equisingular deformations
zbMATH Keywords: equisingular embedded deformations
zbMATH Keywords: Newton polyhedron
reviewed by: N. Mohan Kumar
MaRDI profile type: Publication
cites work: Q4143433
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cites work: Q3958568
cites work: Q4063563
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OpenAlex ID: W2081577081
description: scientific article; zbMATH DE number 4033884