On the hypersurfaces of Hermitian symmetric spaces of compact type

zbMath0416.32021MaRDI QIDQ754348

Yoshio Kimura

Publication date: 1979

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hermitian symmetric spacesvanishing theoremssheaf of germs of holomorphic p-forms

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Analytic sheaves and cohomology groups (32C35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vanishing theorems (32L20)

Related Items (5)

Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kähler manifolds ⋮ Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds ⋮ Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds. II ⋮ Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds. III ⋮ Jacobian rings of hypersurface of compact irreducible Hermitian symmetric spaces and generic Torelli theorem

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