Conjugaison topologique des germes de fonctions holomorphes à singularité isolée en dimension trois
type: Item
instance of: scholarly article
title: Conjugaison topologique des germes de fonctions holomorphes à singularité isolée en dimension trois
zbMATH Open document ID: 0575.32005
DOI: 10.1007/BF01394777
published in: Inventiones Mathematicae
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143275
review text: The main result of this paper is the following. Theorem. Let \(f_ 0, f_ 1: ({\mathbb{C}}^ n,0)\to ({\mathbb{C}},0)\) be two germs of analytic functions with isolated singularities at the origin. Then \(f_ 0\) is R-L-equivalent to \(f_ 1\) (resp. R-equivalent) if and only if \(f_ 0^{-1}(0)\) and \(f_ 1^{-1}(0)\) have the same topological type (resp. strongly same topological type) at 0. This theorem is proved by King for \(n\neq 3\) and by the author for \(n=3\).
Mathematics Subject Classification ID: 32B10
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 55P10
zbMATH DE Number: 3918790
zbMATH Keywords: R-type
zbMATH Keywords: R-L-type
zbMATH Keywords: Milnor fibration
zbMATH Keywords: germs of analytic functions with isolated singularities
zbMATH Keywords: strongly same topological type
author: Bernard Perron
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3918790