Distribution of critical values of miniversal deformations of parabolic singularities
type: Item
instance of: scholarly article
title: Distribution of critical values of miniversal deformations of parabolic singularities
zbMATH Open document ID: 0578.32037
DOI: 10.1007/BF01391493
author: Piotr Jaworski
published in: Inventiones Mathematicae
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143385
review text: In this paper the critical value mapping is considered, which associates with any polynomial from underdiagonal miniversal deformation of the family of parabolic singularities the set of its critical values. It is shown that the restriction of this mapping to the subset of polynomials with \(k\) different critical values, \(k\geq 2\), is a covering of the space of unordered \(k\)-tuples of different complex numbers. In particular, it is proved that the connected components of such subsets are \(K[\pi,1]\) spaces.
reviewed by: Piotr Jaworski
Mathematics Subject Classification ID: 32S30
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 32Sxx
Mathematics Subject Classification ID: 14E20
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 3925268
zbMATH Keywords: critical value
zbMATH Keywords: miniversal deformation
zbMATH Keywords: parabolic singularities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3925268