Jacobian rings of hypersurface of compact irreducible Hermitian symmetric spaces and generic Torelli theorem

DOI10.3792/pjaa.61.321zbMath0592.14030OpenAlexW2017987631MaRDI QIDQ1075397

Masa-Hiko Saito

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.321

zbMATH Keywords

dualityHermitian symmetric spacesgeneric Torelli theoremJacobian rings of smooth hypersurfaces

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Surfaces and higher-dimensional varieties (14J99) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (1)

Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kähler manifolds

Cites Work

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• On the hypersurfaces of Hermitian symmetric spaces of compact type
• A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces
• Weak global Torelli theorem for certain weighted projective hypersurfaces
• On defining equations of symmetric submanifolds in complex projective spaces
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Characteristic Classes and Homogeneous Spaces, I

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