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

3 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

Acceder al documento

10.5802/aif.2578

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{b8601c204aab42b08eddae90dc0d85d2,

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",

issn = "0373-0956",

number = "6",

}

TY - JOUR

T1 - The C1 invariance of the algebraic multiplicity of a holomorphic vector field

AU - Rosas, Rudy

PY - 2010

Y1 - 2010

N2 - We prove that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by C1 equivalences.

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

UR - http://www.scopus.com/inward/record.url?scp=79951479651&partnerID=8YFLogxK

U2 - 10.5802/aif.2578

DO - 10.5802/aif.2578

M3 - Article

AN - SCOPUS:79951479651

SN - 0373-0956

VL - 60

SP - 2115

EP - 2135

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 6

ER -