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

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Abstract

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

Original language	Spanish
Pages (from-to)	2115-2135
Number of pages	21
Journal	Annales de l'Institut Fourier
Volume	60
State	Published - 1 Jan 2010

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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.",

author = "Rudy Rosas",

year = "2010",

month = jan,

day = "1",

language = "Espa{\~n}ol",

volume = "60",

pages = "2115--2135",

journal = "Annales de l'Institut Fourier",

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

AU - Rosas, Rudy

PY - 2010/1/1

Y1 - 2010/1/1

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.

M3 - Artículo

SN - 0373-0956

VL - 60

SP - 2115

EP - 2135

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

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