Taut, pseudotaut and equisingularly rigid singularities

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Authors

  • Thomas Gawlick

External Research Organisations

  • University of Bonn
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Details

Original languageEnglish
Pages (from-to)25-38
Number of pages14
JournalManuscripta mathematica
Volume74
Issue number1
Publication statusPublished - Dec 1992
Externally publishedYes

Abstract

The aim of this paper is to find all plane curve singularities that are taut resp. pseudotaut. It turns out that this problem coincides with the determination of equisingularly rigid singularities. The latter one is achieved in the irreducible case by explicit construction of nontrivial deformations usiing analytical invariants of the Puiseux expansion introduced by Kasner and Zariski, in the reducible case with a cohomological criterion for the triviality of Wahl's functor ES of equisingular deformations of a resolution. Equisingular rigidity is the same as K-zero- or unimodality with discrete parameter. An application is the determination of all equisingularly rigid double points of surfaces, which are just the stabilizations of equisingularly rigid plane curve singularities.

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Cite this

Taut, pseudotaut and equisingularly rigid singularities. / Gawlick, Thomas.
In: Manuscripta mathematica, Vol. 74, No. 1, 12.1992, p. 25-38.

Research output: Contribution to journalArticleResearchpeer review

Gawlick T. Taut, pseudotaut and equisingularly rigid singularities. Manuscripta mathematica. 1992 Dec;74(1):25-38. doi: 10.1007/BF02567655
Gawlick, Thomas. / Taut, pseudotaut and equisingularly rigid singularities. In: Manuscripta mathematica. 1992 ; Vol. 74, No. 1. pp. 25-38.
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