Finite determinacy relative to closed and finitely generated ideals
type: Item
instance of: scholarly article
title: Finite determinacy relative to closed and finitely generated ideals
zbMATH Open document ID: 0971.58023
published in: Manuscripta Mathematica
publication date: 2001-11-05T00:00:00Z
review text: The main purpose of this paper is to develop a theory of finite determinacy and unfolding for \({\mathcal C}^\infty\)-function germs in a finitely generated and closed ideal with three additional hypotheses denoted by \((H_1) -(H_3)\). Some particular interesting situations have been studied by \textit{D. Siersma} [Proc. Symp. Pure Math. 40, part 2, 4855-496 (1983; Zbl 0514.32007)], \textit{R. Pellikaan} [Proc. Lond. Math. Soc. (3) 57, No. 2, 357-382 (1988; Zbl 0621.32019)], and \textit{G. Jiang} [Functions with nonisolated singularities on singular spaces. Thesis, Universiteit Utrecht (1988)].
Mathematics Subject Classification ID: 58K40
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 57R45
zbMATH DE Number: 1556656
zbMATH Keywords: \({\mathcal C}^\infty\)-function germs
zbMATH Keywords: finite determinacy
zbMATH Keywords: unfolding
author: Vincent Grandjean
MaRDI profile type: Publication
full work available at URL: s002290070009
OpenAlex ID: W2011710490
DOI: 10.1007/S002290070009
description: scientific article; zbMATH DE number 1556656