\(p\)-adic periods of abelian varieties

DOI10.1007/BF01444640zbMath0793.14033OpenAlexW2080618149MaRDI QIDQ1204142

Pierre Colmez

Publication date: 3 March 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164933

zbMATH Keywords

abelian varieties\(p\)-adic periods

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Local ground fields in algebraic geometry (14G20) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

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Théorie de Dieudonné cristalline et périodes $p$-adiques, Obituary: Robert F. Coleman 1954--2014, An Introduction to p-Adic Hodge Theory, The \(p\)-adic representation of the Weil-Deligne group associated to an abelian variety, The radius of convergence of the \(p\)-adic sigma function, The Frobenius and monodromy operators for curves and abelian varieties, Comparison isomorphisms for smooth formal schemes, An explicit formula for the Hilbert symbol of a formal group, Torus of moderate inertia, The Fontaine–Ogus realization of Laumon 1-motives, Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1, Unnamed Item, On p-adic uniformization of abelian varieties with good reduction

Cites Work

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• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• Hodge-Tate periods and p-adic abelian integrals
• Torsion points on curves and p-adic abelian integrals
• Formes différentielles et modules de Tate des variétés abéliennes sur les corps locaux. (Différential forms and Tate modules of abelian varieties over local fields)
• The universal vectorial bi-extension and \(p\)-adic heights