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Real analyticity of the canonical versal deformations of CR-structures (Q1306213)

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scientific article; zbMATH DE number 1344252
Language Label Description Also known as
English
Real analyticity of the canonical versal deformations of CR-structures
scientific article; zbMATH DE number 1344252

    Statements

    Real analyticity of the canonical versal deformations of CR-structures (English)
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    24 July 2000
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    Let \((V,0)\) be an \(n\)-dimensional normal isolated singularity in \((\mathbb{C}^N,0)\), \(S_\varepsilon^{2N-1}(0)\) the \(\varepsilon\)-sphere in \(\mathbb{C}^N\) and \(M=V\cap S_\varepsilon^{2N-1}(0)\). \(V\) induces a CR structure \((M,^\circ T'')\) on \(M\). The author shows that there is a versal family \((M,^{\varphi (t)}T'')\), \(\varphi(0)=0\), \(\varphi(t)\in^\circ \overline T''\otimes^\circ T''{}^*\), which is real analytic.
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    canonical versal deformations of CR-structures
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    real analytic
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