The Seifert form of a plane curve singularity determines its intersection multiplicities
type: Item
instance of: scholarly article
title: The Seifert form of a plane curve singularity determines its intersection multiplicities
zbMATH Open document ID: 0873.14032
DOI: 10.1016/0019-3577(96)85089-0
author: Rainer Kaenders
published in: Indagationes Mathematicae. New Series
publication date: 1996-12-12T00:00:00Z
review text: Consider an isolated plane curve singularity. The Seifert form on the second homology group of the Milnor fibre is a certain bilinear form. It determines the intersection form and the monodromy on the Milnor fibre. \textit{W. Burau} proved that for irreducible plane curve singularities the Seifert form determines the topological type. In this paper the author proves that the Seifert form determines the intersection multiplicity of the branches with each other.
Mathematics Subject Classification ID: 14H20
zbMATH DE Number: 941338
zbMATH Keywords: Seifert form
zbMATH Keywords: Milnor fibre
zbMATH Keywords: plane curve singularities
zbMATH Keywords: intersection multiplicity
MaRDI profile type: Publication
full work available at URL: 0019-3577(96)85089-0
OpenAlex ID: W2010421145
cites work: Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I
cites work: Q3966226
cites work: The Selling reduction domain of positive quadratic forms in five variables
cites work: Q5839829
cites work: Q3715247
cites work: Q3980868
cites work: Q4281833
cites work: Monodromy of isolated singularities of hypersurfaces
cites work: Q5787302
cites work: Fibered knots and algebraic singularities
cites work: Quadratische Formen und Monodromiegruppen von Singularitäten
cites work: Intersection matrices for certain singularities of functions of two variables
cites work: THE MONODROMY GROUPS OF ISOLATED SINGULARITIES OF HYPERSURFACES
cites work: Q5656867
cites work: Singular Points of Complex Hypersurfaces. (AM-61)
cites work: Q4011180
cites work: A supplement to the monodromy theorem
description: scientific article; zbMATH DE number 941338