Characterization of \(v\)-sufficiency from the Newton filtration
type: Item
instance of: scholarly article
title: Characterization of \(v\)-sufficiency from the Newton filtration
zbMATH Open document ID: 1080.58011
author: Ould M. Abderrahmane
published in: Manuscripta Mathematica
publication date: 2005-06-13T00:00:00Z
review text: The author considers the set of all germ mappings \(({\mathbb R}^n, 0) \longrightarrow ({\mathbb R}^p, 0)\) which are \(C^2\) in a punctured neighborhood of the origin. He obtains several criteria for the \(v\)-sufficiency in terms of the Newton polyhedron. As particular cases he recovers the criteria of \textit{T.-C. Kuo} [Topology 11, 115--131 (1972; Zbl 0234.58005)] and \textit{L. Paunescu} [J. Math. Soc. Japan 46, 345--354 (1994; Zbl 0809.32009)].
reviewed by: Doru Ştefănescu
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 58A35
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 2175531
zbMATH Keywords: function germs
zbMATH Keywords: Newton filtration
MaRDI profile type: Publication
full work available at URL: s00229-005-0545-6
OpenAlex ID: W1986367756
cites work: The theory of stratification relative to a Newton polyhedron.
cites work: Newton polyhedron and trivialization `en famille'
cites work: The Kuo condition, an inequality of Thom's type and \((c)\)-regularity
cites work: Stratification theory from the weighted point of view
cites work: Polyedres de Newton et nombres de Milnor
cites work: On \(C^0\)-sufficiency of jets of potential functions
cites work: Characterizations of v-sufficiency of jets
cites work: \(V\)-sufficiency from the weighted point of view
DOI: 10.1007/S00229-005-0545-6
description: scientific article; zbMATH DE number 2175531