Residual discriminant and residual bifurcation locus of a function germ singular along an Euler free divisor
type: Item
instance of: scholarly article
title: Residual discriminant and residual bifurcation locus of a function germ singular along an Euler free divisor
zbMATH Open document ID: 1006.32025
author: Vincent Grandjean
published in: Kodai Mathematical Journal
publication date: 2003-02-18T00:00:00Z
review text: The paper deals with germs of analytic functions \(f:({\mathbb C}^n,0) \rightarrow ({\mathbb C},0)\) having nonisolated singularity along \(H\). Furthermore it is assumed that \((H,0)\) is a germ of a complete intersection and \(f\) is \(R_I\) finitely determined, where \(R_I\) is a subgroup of automorphisms of \({\mathcal O}_{{\mathbb C}^n,0}\) preserving the reduced ideal of \((H,0)\). The main object is to investigate the \(R_I\) miniversal unfolding of \(f\) and the analogues of the critical locus and discriminant.
reviewed by: Piotr Jaworski
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 32S30
Mathematics Subject Classification ID: 32B10
Mathematics Subject Classification ID: 32S60
Mathematics Subject Classification ID: 58K60
zbMATH DE Number: 1742085
zbMATH Keywords: nonisolated singularities
zbMATH Keywords: miniversal unfolding
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1106168812
OpenAlex ID: W1994960532
DOI: 10.2996/KMJ/1106168812
description: scientific article; zbMATH DE number 1742085