The C1 invariance of the algebraic multiplicity of a holomorphic vector field

Rudy Rosas

doi:10.5802/aif.2578

The C¹ invariance of the algebraic multiplicity of a holomorphic vector field

Rudy Rosas

Grupo de investigación en Geometría y Dinámica Compleja

Instituto de Matemática y Ciencias Afines

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We prove that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by C¹ equivalences.

Original language	English
Pages (from-to)	2115-2135
Number of pages	21
Journal	Annales de l'Institut Fourier
Volume	60
Issue number	6
DOIs	https://doi.org/10.5802/aif.2578
State	Published - 2010

Keywords

Algebraic multiplicity
Holomorphic foliation
Holomorphic vector field

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10.5802/aif.2578

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title = "The C1 invariance of the algebraic multiplicity of a holomorphic vector field",

abstract = "We prove that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by C1 equivalences.",

keywords = "Algebraic multiplicity, Holomorphic foliation, Holomorphic vector field",

author = "Rudy Rosas",

year = "2010",

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language = "English",

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pages = "2115--2135",

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AB - We prove that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by C1 equivalences.

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KW - Holomorphic foliation

KW - Holomorphic vector field

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JO - Annales de l'Institut Fourier

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The C¹ invariance of the algebraic multiplicity of a holomorphic vector field

Abstract

Keywords

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