Arithmetical Torelli theorems for K3 surfaces and for curves

DOI10.1016/0022-4049(87)90074-0zbMath0646.14009OpenAlexW2065224863MaRDI QIDQ1103682

Takeshi Ooe

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90074-0

zbMATH Keywords

Hodge structuresglobal Torelli theoremarithemetical Torelli theorem

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Special surfaces (14J25)

Cites Work

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• The Tate conjecture for ordinary K 3 surfaces over finite fields
• The Kuga-Satake variety of an abelian surface
• Finiteness theorems for abelian varieties over number fields.
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• La conjecture de Weil pour les surfaces K3
• Abelian varieties attached to polarized \(K_3\)-surfaces
• Lie algebras of Galois groups arising from Hodge-Tate modules
• On the fields of rationality for curves and for their jacobian varieties

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