Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
type: Item
instance of: scholarly article
title: Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
zbMATH Open document ID: 0709.32025
DOI: 10.1007/BF01239515
published in: Inventiones Mathematicae
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143859
review text: We prove that there exists a semi-universal unfolding in the equisingular unfolding class, for a germ in \(0\in ({\mathbb{C}}^ 2)\) of holomorphic singular foliation. We give an explicit formula for the dimension of the universal parameter space, with respect to multiplicities of the infinitely near points. This result applied to a function gives a formula for the dimension of the \(\mu\)-constant strata.
Mathematics Subject Classification ID: 32S15
Mathematics Subject Classification ID: 32S65
zbMATH DE Number: 4165316
zbMATH Keywords: semi-universal unfolding
zbMATH Keywords: holomorphic singular foliation
author: Jean-François Mattei
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4165316