Variational Torelli implies generic Torelli

DOI10.1007/BF01388918zbMath0594.14011OpenAlexW2093919385MaRDI QIDQ1076748

David A. Cox, Loring W. Tu, Ron Y. Donagi

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143462

zbMATH Keywords

period mapinfinitesimal variation of Hodge structureIVHSvariational Torelligeneric Torelli

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items

A variational mixed Torelli theorem, On the Hodge structure of projective hypersurfaces in toric varieties, Unnamed Item, Unnamed Item, PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS, Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kähler manifolds, On the period map for abelian covers of algebraic varieties, Unnamed Item, Higher normal functions and Griffiths groups, Generic Torelli for weighted hypersurfaces

Cites Work

• Generic Torelli for weighted hypersurfaces
• 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
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• Moduli theory and classification theory of algebraic varieties
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
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