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An algebraic condition of an irreducible variety in \(\mathbb{C}^n\) - MaRDI portal

An algebraic condition of an irreducible variety in \(\mathbb{C}^n\) (Q1775376)

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scientific article; zbMATH DE number 2166166
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English
An algebraic condition of an irreducible variety in \(\mathbb{C}^n\)
scientific article; zbMATH DE number 2166166

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    An algebraic condition of an irreducible variety in \(\mathbb{C}^n\) (English)
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    6 May 2005
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    It is shown that an analytic subset \(V\subset\mathbb{C}^n\) is algebraic if and only if the space \(H(V)\) of holomorphic functions on \(V\) has a special property coming from the general theory of graded Fréchet spaces.
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    analytic subset
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    algebraicity
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    graded Fréchet spaces
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