Sur les fibrations de Milnor de familles d'hypersurfaces à lieu singulier de dimension un. (On the Milnor fibrations of families of hypersurfaces with one dimensional critical locus)
type: Item
instance of: scholarly article
title: Sur les fibrations de Milnor de familles d'hypersurfaces à lieu singulier de dimension un. (On the Milnor fibrations of families of hypersurfaces with one dimensional critical locus)
zbMATH Open document ID: 0687.32014
DOI: 10.1007/BF01446912
author: J. P. Vannier
published in: Mathematische Annalen
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164704
review text: Let f be an analytic function with one dimensional critical locus. We give a handle decomposition of the Milnor's fiber of f. Then we prove, under numerical and geometric hypothesis, that the Milnor's fibrations of such functions are independent of the parameter in a one parameter family.
Mathematics Subject Classification ID: 32Sxx
zbMATH DE Number: 4125786
zbMATH Keywords: Milnor fibration
MaRDI profile type: Publication
cites work: Q4097535
cites work: La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
cites work: Calcul du nombre de cycles evanouissants d'une hypersurface complexe
cites work: Q3897283
cites work: The Invariance of Milnor's Number Implies the Invariance of the Topological Type
cites work: Q4769269
cites work: The Lê-Ramanujam problem for hypersurfaces with one-dimensional singular sets
cites work: Singular Points of Complex Hypersurfaces. (AM-61)
cites work: On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials
cites work: Q3712577
description: scientific article; zbMATH DE number 4125786