On the partial algebraicity of holomorphic mappings between two real algebraic sets (Q2773563)

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scientific article; zbMATH DE number 1710199
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On the partial algebraicity of holomorphic mappings between two real algebraic sets
scientific article; zbMATH DE number 1710199

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    On the partial algebraicity of holomorphic mappings between two real algebraic sets (English)
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    24 February 2002
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    local holomorphic mappings
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    real algebraic sets
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    transcendence degree
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    local algebraic foliations
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    Tumanov's minimality
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    Segre chains
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    The author discusses classical and more recent results about the algebraicity of holomorphic mappings between real algebraic sets, by building a study of the transcendence degree of such mappings. He also discusses the meaning of Tumanov's minimality condition in arbitrary dimension and without any assumption on the rank, for arbitrary real algebraic sets.
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