Exposants polaires et résolution des surfaces. (Polar exponents and resolution of surfaces)
type: Item
instance of: scholarly article
title: Exposants polaires et résolution des surfaces. (Polar exponents and resolution of surfaces)
zbMATH Open document ID: 0614.32010
author: Dũng Tráng Lê
published in: Acta Mathematica Vietnamica
publication date: 1986-01-01T00:00:00Z
review text: Let f: (V,0)\(\to ({\mathbb{C}},0)\) be a holomorphic germ defined on a germ (V,0) of a normal surface. The author describes the topology of the manifold with boundary \(M_{\epsilon,\eta}=K_{\epsilon}-f^{- 1}(D_{\eta})\) where \(K_{\epsilon}\) is the intersection of (V,0) assumed to be embedded in \(({\mathbb{C}}^ N,0)\), with the sphere of radius \(\epsilon\) with \(0<\epsilon \ll 1\) and where \(D_{\eta}=\{z\in {\mathbb{C}}| | z| <\eta \}\) with \(0<\eta \ll \epsilon\).
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 32S45
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 3993965
zbMATH Keywords: polar curves
zbMATH Keywords: polar filtration of monodromy
zbMATH Keywords: Waldhausen decomposition
reviewed by: Daniel Barlet
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3993965