Duality for the de Rham cohomology of an abelian scheme

DOI10.5802/aif.1659zbMath0926.14008OpenAlexW2323705861MaRDI QIDQ1272259

Robert F. Coleman

Publication date: 29 November 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_5_1379_0

zbMATH Keywords

abelian schemefirst de Rham cohomology groupPoincaré pairingSerre's formula

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Algebraic theory of abelian varieties (14K05)

Related Items (4)

Quadratic Chabauty: \(p\)-adic heights and integral points on hyperelliptic curves ⋮ Vectorial extensions of Jacobians ⋮ Formal sections and de Rham cohomology of semistable Abelian varieties. ⋮ Deligne's duality for de Rham realizations of 1-motives

Cites Work

• Théorie de Dieudonne cristalline. II
• Hodge-Tate periods and p-adic abelian integrals
• The universal vectorial bi-extension and \(p\)-adic heights
• Universal extensions and one dimensional crystalline cohomology
• Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
• Théorie de Hodge. III
• Moduli of abelian varieties
• On the De Rham cohomology of algebraic varieties

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