Groupes $p$-divisibles et modules filtrés : le cas peu ramifié

DOI10.24033/bsmf.1915zbMath0453.14021OpenAlexW2585614477MaRDI QIDQ3900182

Guy Laffaille

Publication date: 1980

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1980__108__187_0

zbMATH Keywords

Witt vectorscrystalline cohomologyfiltered modulesp-divisible groupsessential image of the Grothendieck-Messing functor

Mathematics Subject Classification ID

Related Items (18)

Construction de représentations $p$-adiques ⋮ Lifting according to an isogeny of \(\ell\)-adic Galois representations associated to motives ⋮ Propriétés du groupe tannakien des structures de Hodge \(p\)-adiques et torseur entre cohomologies cristalline et étale. (Properties of the Tannakian group of \(p\)-adic Hodge structures and torsor between crystalline and étale cohomologies.) ⋮ Tensor products in \(p\)-adic Hodge theory ⋮ Filtrations and Buildings ⋮ A fixed point theorem in Euclidean buildings ⋮ A note on potential diagonalizability of crystalline representations ⋮ Relative crystalline representations and \(p\)-divisible groups in the small ramification case ⋮ The Tate conjecture for \(K3\) surfaces in odd characteristic ⋮ Existence of \(F\)-crystals with supplementary structures ⋮ Construction de représentations p-adiques semi-stables ⋮ Integral canonical models for Spin Shimura varieties ⋮ Crystalline representations and F-crystals ⋮ On the divisibility properties of families of filtered F-crystals ⋮ Tensor product and semi-stability: four variations on a theme ⋮ Une remarque sur les représentations locales $p$-adiques et les congruences entre formes modulaires de Hilbert ⋮ Mazur's inequality and Laffaille's theorem ⋮ Spectral sequence of weights in Hyodo-Kato cohomology

Cites Work

• Groupes de Lie et hyperalgèbras de Lie sur un corps de caractéristique \(p > 0\). VII
• Griffiths transversality in crystalline cohomology
• Categories tannakiennes
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• Frobenius and the Hodge filtration (estimates)
• Notes on Crystalline Cohomology. (MN-21)
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC
• Frobenius and the Hodge filtration
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