Local structure of holomorphic foliation singularities
type: Item
instance of: scholarly article
title: Local structure of holomorphic foliation singularities
zbMATH Open document ID: 0921.32015
published in: Pacific Journal of Mathematics
publication date: 1998-09-10T00:00:00Z
review text: The local behaviour of the leaves of a singular holomorphic foliation of a complex manifold is analyzed around the singularity. It is shown that certain integers classify the singular foliation germs. Maps from simpler classes to more complicated classes are constructed and it is shown that every foliation can be expressed in terms of simpler ones, under some mild assumptions. Examples are constructed to show the existence of germ classes corresponding to certain combination of integers.
Mathematics Subject Classification ID: 32S65
zbMATH DE Number: 1186479
zbMATH Keywords: holomorphic foliations
zbMATH Keywords: singularities
author: Sinan Sertöz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1186479