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Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kähler manifolds - MaRDI portal

Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kähler manifolds (Q916736)

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scientific article; zbMATH DE number 4154600
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Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kähler manifolds
scientific article; zbMATH DE number 4154600

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    Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kähler manifolds (English)
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    1989
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    The article under review contains a version of the generic Torelli theorem for hypersurfaces of a simply connected compact homogeneous Kähler manifold, i.e. a Kähler C-space whose second Betti number \(equals\quad 1.\) The treatment follows the method of \textit{R. Donagi} [Compos. Math. 50, 325-353 (1983; Zbl 0598.14007)] which was originally applied to the case of projective hypersurfaces.
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    Jacobian ring
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    infinitesimal variations
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    generic Torelli theorem
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    Kähler C-space
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