Newton-Puiseux approximation and Łojasiewicz exponents
type: Item
instance of: scholarly article
title: Newton-Puiseux approximation and Łojasiewicz exponents
zbMATH Open document ID: 1047.32006
author: Hà Huy Vui
author: Tien Son Pham
published in: Kodai Mathematical Journal
publication date: 2004-01-28T00:00:00Z
review text: The authors present a process to construct what they call the Newton-Puiseux approximation of the germ \(F\) where \(F\) is a germ of real analytic, complex analytic or smooth mappings. This process either yields all common non-constant factors of the real (or complex) analytic functions \(f_1,\dots, f_n\) in a suitable neighbourhood of the origin, or else, after a finite number of steps, shows that \((0,\dots,0)\) is a common isolated zero of the functions \(f_1,\dots, f_n\). At the end, the authors apply the Newton-Puiseux approximation to obtain a formula for the Łojasiewicz exponent \(Z(F)\),
Mathematics Subject Classification ID: 32B10
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 2034330
zbMATH Keywords: Łojasiewicz exponent
zbMATH Keywords: Newton-Puiseux approximation
zbMATH Keywords: germ
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1050496644
OpenAlex ID: W2077889682
DOI: 10.2996/KMJ/1050496644
description: scientific article; zbMATH DE number 2034330