Singular Milnor fibers and higher multiplicities
type: Item
instance of: scholarly article
title: Singular Milnor fibers and higher multiplicities
zbMATH Open document ID: 0884.32026
DOI: 10.1007/BF02362569
published in: Journal of Mathematical Sciences (New York)
publication date: 1997-06-08T00:00:00Z
review text: A class of non-isolated singularities is studied, which still have some nice properties as isolated hypersurface singularities, the class of almost free divisors. This class contains discriminants of finitely determined map germs, bifurcation sets of certain unfoldings of hypersurfaces, certain central arrangements of hyperplanes. To these singularities a so-called singular Milnor fibration is associated, which has similar properties as the Milnor fibration for isolated singularities. Especially, there is a ``singular'' Milnor number and higher multiplicities similar to Teissier's \(\mu^*\). They are used to deduce topological properties of these singularities.
Mathematics Subject Classification ID: 32S55
Mathematics Subject Classification ID: 32S25
zbMATH DE Number: 1017580
zbMATH Keywords: free arrangements
zbMATH Keywords: non-isolated singularities
zbMATH Keywords: free divisors
zbMATH Keywords: singular Milnor fibration
author: James Damon
reviewed by: Gerhard Pfister
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02362569
OpenAlex ID: W2023502655
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description: scientific article; zbMATH DE number 1017580