On the computation of versal deformations
type: Item
instance of: scholarly article
title: On the computation of versal deformations
zbMATH Open document ID: 0890.32014
DOI: 10.1007/BF02362580
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-06-23T00:00:00Z
review text: Most of the contents of this article are the survey of some results on components of the parameter space of the versal deformation family of an isolated singularity. More precisely, they are the survey of the author's research group on the case of singularities with dimension one or two and with codimension greater than one. Besides, the author states that he has found by computer calculation with software ``Macaulay'' that the singularity at the origin of fourteen general lines through the origin in \(\mathbb{C}^6\) has sixteen smoothing components. A component of the parameter space of the versal deformation of a singularity is called a smoothing component, if the fiber over a general point on it is smooth.
Mathematics Subject Classification ID: 32S30
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 1017591
zbMATH Keywords: deformation
zbMATH Keywords: isolated singularity
zbMATH Keywords: survey
zbMATH Keywords: smoothing components
author: Jan Stevens
reviewed by: Tohsuke Urabe
describes a project that uses: Macaulay2
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1017591