Remarks on the Milnor fibration at infinity
type: Item
instance of: scholarly article
title: Remarks on the Milnor fibration at infinity
zbMATH Open document ID: 0969.32013
author: Alexandru Zaharia
author: Laurentiu Paunescu
published in: Manuscripta Mathematica
publication date: 2001-09-30T00:00:00Z
review text: The aim of the paper is to continue the study started by the authors in [Indag. Math. 3, 323-335 (1992; Zbl 0806.57021)] of the Milnor fibration at infinity. In the first part, the authors recall some technical notions related with semitame and \(M\)-tame polynomials and later obtain new topological descriptions of the Milnor fibre at infinity. The paper is well written and contains several interesting examples. The last section contains examples which show that the property of being \(M\)-tame depends on the algebraic coordinate system of \(\mathbb C^n\), when \(n\geq 4\). This contrasts to the case \(n=2\), where by the result of \textit{H. H. Vui} [C. R. Acad. Sci. Paris, Sér. I 311, 429-432, (1990; Zbl 0807.32025)] being \(M\)-tame is independent of the coordinate system.
Mathematics Subject Classification ID: 32S55
Mathematics Subject Classification ID: 14J17
zbMATH DE Number: 1556659
zbMATH Keywords: Milnor fibration
zbMATH Keywords: fiber at infinity
zbMATH Keywords: Milnor number
zbMATH Keywords: critical point
reviewed by: Zbigniew Hajto
MaRDI profile type: Publication
full work available at URL: s002290070011
OpenAlex ID: W2089043817
DOI: 10.1007/S002290070011
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description: scientific article; zbMATH DE number 1556659