Invariance of the global monodromies in families of nondegenerate polynomials in two variables
type: Item
instance of: scholarly article
title: Invariance of the global monodromies in families of nondegenerate polynomials in two variables
zbMATH Open document ID: 1209.32017
published in: Kodai Mathematical Journal
publication date: 2010-08-17T00:00:00Z
review text: The author is interested in a global version of the Lê-Ramanujam \(\mu \)-constant theorem for polynomials. He considers an analytic family \(\{f_s\}\), \(s \in [0, 1]\), of complex polynomials in two variables that are Newton non-degenerate. By assuming that the Euler characteristic of a generic fiber of \(f_s\) is constant, he then shows that the global monodromy fibrations of \(f_s\) are all isomorphic, and that the degree of \(f_s\) is constant (up to an algebraic C\(^{2}\)-automorphism).
Mathematics Subject Classification ID: 32S20
Mathematics Subject Classification ID: 14M25
zbMATH DE Number: 5771807
zbMATH Keywords: global monodromy fibration
zbMATH Keywords: family of polynomials
zbMATH Keywords: Lê-Ramanujam
author: Tien Son Pham
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1278076344
OpenAlex ID: W2006674100
DOI: 10.2996/KMJ/1278076344
description: scientific article; zbMATH DE number 5771807