The differentiable-invariance of the algebraic multiplicity of a holomorphic vector field

Rudy Rosas

doi:10.4310/jdg/1261495335

The differentiable-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

5 Citas (Scopus)

Resumen

We prove that the algebraicmultiplicity of a holomorphic vector field at an isolated singularity is invariant by topological equiva-lences which are differentiable at the singular point.

Idioma original	Inglés
Páginas (desde-hasta)	337-396
Número de páginas	60
Publicación	Journal of Differential Geometry
Volumen	83
N.º	2
DOI	https://doi.org/10.4310/jdg/1261495335
Estado	Publicada - 2009

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

abstract = "We prove that the algebraicmultiplicity of a holomorphic vector field at an isolated singularity is invariant by topological equiva-lences which are differentiable at the singular point.",

author = "Rudy Rosas",

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doi = "10.4310/jdg/1261495335",

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volume = "83",

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journal = "Journal of Differential Geometry",

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PY - 2009

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N2 - We prove that the algebraicmultiplicity of a holomorphic vector field at an isolated singularity is invariant by topological equiva-lences which are differentiable at the singular point.

AB - We prove that the algebraicmultiplicity of a holomorphic vector field at an isolated singularity is invariant by topological equiva-lences which are differentiable at the singular point.

UR - https://www.scopus.com/pages/publications/73349115516

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DO - 10.4310/jdg/1261495335

M3 - Article

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VL - 83

SP - 337

EP - 396

JO - Journal of Differential Geometry

JF - Journal of Differential Geometry

IS - 2

ER -

The differentiable-invariance of the algebraic multiplicity of a holomorphic vector field

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