A residue formula for the index of a holomorphic flow
type: Item
instance of: scholarly article
title: A residue formula for the index of a holomorphic flow
zbMATH Open document ID: 0853.32040
DOI: 10.1007/BF01446310
author: Tatsuo Suwa
author: José Seade
published in: Mathematische Annalen
publication date: 1996-07-09T00:00:00Z
full work available at URL: https://eudml.org/doc/165420
review text: Let \(({\mathcal V}, P)\) be a normal, isolated complex singularity, \(\dim {\mathcal V} = n \geq 1\), and \(X\) be a germ of holomorphic vector fields, which is singular only at \(P\). Let \(\widetilde {\mathcal V}\) be a resolution of \(\mathcal V\) and \(\widetilde X\) be the corresponding lifting of \(X\). The authors develop a general approach to the problem of calculation of the Hopf index of \((\widetilde {X}, \widetilde {\mathcal V})\).
Mathematics Subject Classification ID: 32S65
Mathematics Subject Classification ID: 32S50
Mathematics Subject Classification ID: 32S45
zbMATH DE Number: 892565
zbMATH Keywords: normal, isolated complex singularity
zbMATH Keywords: resolution
zbMATH Keywords: Hopf index
MaRDI profile type: Publication
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OpenAlex ID: W2912729614
description: scientific article; zbMATH DE number 892565