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The \(C^{1}\) invariance of the algebraic multiplicity of a holomorphic vector field - MaRDI portal

The \(C^{1}\) invariance of the algebraic multiplicity of a holomorphic vector field (Q624778)

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scientific article; zbMATH DE number 5849154
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The \(C^{1}\) invariance of the algebraic multiplicity of a holomorphic vector field
scientific article; zbMATH DE number 5849154

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    The \(C^{1}\) invariance of the algebraic multiplicity of a holomorphic vector field (English)
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    9 February 2011
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    Based on the author's PhD thesis, the paper essentially proves that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by \(C^1\)-equivalences.
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    algebraic multiplicity
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    holomorphic vector field
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    holomorphic foliation
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