Families of polynomials with total Milnor number constant
type: Item
instance of: scholarly article
title: Families of polynomials with total Milnor number constant
zbMATH Open document ID: 0844.32021
DOI: 10.1007/BF01446302
author: Alexandru Zaharia
author: Hà Huy Vui
published in: Mathematische Annalen
publication date: 1996-09-03T00:00:00Z
full work available at URL: https://eudml.org/doc/165412
review text: We prove the following analog of the Lê-Ramanujam theorem: For a family of \(M\)-tame polynomials with total Milnor number constant, the Milnor fibrations at infinity are diffeomorphic if the number of variables is different from 3. Using this result, we obtain, in the case of affine algebraic plane curves, that the intrinsic degree is constant in such families.
Mathematics Subject Classification ID: 32S55
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57Q45
zbMATH DE Number: 861921
zbMATH Keywords: polynomials
zbMATH Keywords: Milnor fibrations
MaRDI profile type: Publication
cites work: The Lefschetz theorem on hyperplane sections
cites work: Milnor numbers and the topology of polynomial hypersurfaces
cites work: Partitions of unity in the theory of fibrations
cites work: A version at infinity of the Kuiper-Kuo theorem
cites work: The Invariance of Milnor's Number Implies the Invariance of the Topological Type
cites work: Q5543303
cites work: Singular Points of Complex Hypersurfaces. (AM-61)
cites work: On the bifurcation set of a polynomial function and Newton boundary
cites work: Milnor fibration at infinity
cites work: Complex algebraic plane curves via their links at infinity
cites work: Ensembles et morphismes stratifiés
description: scientific article; zbMATH DE number 861921