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

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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.

Original languageEnglish
Pages (from-to)337-396
Number of pages60
JournalJournal of Differential Geometry
Volume83
Issue number2
DOIs
StatePublished - 2009

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