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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

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

Idioma original	Inglés
Páginas (desde-hasta)	2115-2135
Número de páginas	21
Publicación	Annales de l'Institut Fourier
Volumen	60
N.º	6
DOI	https://doi.org/10.5802/aif.2578
Estado	Publicada - 2010

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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",

doi = "10.5802/aif.2578",

language = "English",

volume = "60",

pages = "2115--2135",

journal = "Annales de l'Institut Fourier",

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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.

KW - Algebraic multiplicity

KW - Holomorphic foliation

KW - Holomorphic vector field

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DO - 10.5802/aif.2578

M3 - Article

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JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

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