Formes différentielles et modules de Tate des variétés abéliennes sur les corps locaux. (Différential forms and Tate modules of abelian varieties over local fields)

DOI10.1007/BF01396625zbMath0502.14015MaRDI QIDQ1172678

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/142856

zbMATH Keywords

Tate conjecture finite group schemes p-adic Galois representation p-divisible groups Hodge-Tate decompositions

Mathematics Subject Classification ID

Galois theory (11S20) Local ground fields in algebraic geometry (14G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Arithmetic ground fields for abelian varieties (14K15) Formal groups, (p)-divisible groups (14L05) Group schemes (14L15)

Related Items (24)

Théorie de Dieudonné cristalline et périodes $p$-adiques ⋮ $p$-adic periods and derived de Rham cohomology ⋮ There are no abelian varieties over $\mathbb Z$. ⋮ An Introduction to p-Adic Hodge Theory ⋮ Hodge classes and Tate classes on simple abelian fourfolds ⋮ On variation of Hodge-Tate structures ⋮ Hodge-Tate structures and modular forms ⋮ Cristalline representations in the case of an imperfect residue field ⋮ On the Shafarevich and Tate conjectures for hyperkähler varieties ⋮ The norm residue symbol for higher local fields ⋮ A $p$-adic Simpson correspondence for rigid analytic varieties ⋮ The universal vectorial bi-extension and $p$-adic heights ⋮ The Frobenius and monodromy operators for curves and abelian varieties ⋮ $p$-adic periods of abelian varieties ⋮ The -cohomology in the semistable case ⋮ Integral $p$-adic étale cohomology of Drinfeld symmetric spaces ⋮ On log differentials of local fields ⋮ Unnamed Item ⋮ Complex orientations for 𝑇𝐻𝐻 of some perfectoid fields ⋮ On the $p$-typical de Rham-Witt complex over $W(k)$ ⋮ Faltings extension and Hodge-Tate filtration for abelian varieties over p-adic local fields with imperfect residue fields ⋮ Local cohomology of module of differentials of integral extensions. II ⋮ Hodge-Tate periods and p-adic abelian integrals ⋮ Around the Poincaré lemma, after Beilinson

Cites Work

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