A note on the Zariski multiplicity conjecture
type: Item
instance of: scholarly article
title: A note on the Zariski multiplicity conjecture
zbMATH Open document ID: 1303.32021
author: Mahdi Teymuri Garakani
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2014-10-24T00:00:00Z
review text: The author proves that a homeomorphism \(\phi\), that gives a right equivalence \(g=f\circ \phi\), preserves the multiplicity, if \(\phi(z)/z\) is bounded on a line segment intersecting the zero locus of \(f\) and its tangent cone only at the origin.
reviewed by: Jan Stevens
Mathematics Subject Classification ID: 32S25
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 6361374
zbMATH Keywords: isolated complex hypersurface singularities
zbMATH Keywords: multiplicity
zbMATH Keywords: topological equivalence
Wikidata QID: Q123300669
MaRDI profile type: Publication
full work available at URL: j.crma.2014.07.010
OpenAlex ID: W2088436563
cites work: On Zariski's multiplicity problem
cites work: Q3407115
cites work: Topological type of isolated critical points
cites work: Singular Points of Complex Hypersurfaces. (AM-61)
cites work: Conjugaison topologique des germes de fonctions holomorphes à singularité isolée en dimension trois
cites work: Bilipschitz Invariance of the Multiplicity
cites work: Algebricite de certains points singuliers algebroides
cites work: On Zariski's multiplicity conjecture
cites work: Some open questions in the theory of singularities
DOI: 10.1016/J.CRMA.2014.07.010
Recommended article: On Zariski's multiplicity conjecture
Recommended article: Notes on the multiplicity conjecture
Recommended article: A note on Zariski pairs
Recommended article: A Reduction Theorem for the Zariski Multiplicity Conjecture
Recommended article: On Zariski's multiplicity problem
Recommended article: Zariski multiplicity conjecture in families of non-degenerate singularities
Recommended article: Q4623565
Recommended article: The Zariski-Lipman conjecture for toric varieties
Recommended article: On Zariski’s multiplicity problem at infinity
Recommended article: Q5447350
description: scientific article; zbMATH DE number 6361374