The torsor between \(p\)-adic étale cohomology and crystalline cohomology; the abelian case

DOI10.1215/S0012-7094-91-06221-6zbMath0746.14007MaRDI QIDQ1814230

Jean-Pierre Wintenberger

Publication date: 25 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Witt vectorslocal fieldtorsorDieudonné modulemotifs\(p\)-adic crystalline representation of the Galois group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Galois theory (11S20) (p)-adic cohomology, crystalline cohomology (14F30) Algebraic theory of abelian varieties (14K05) Formal groups, (p)-divisible groups (14L05)

Related Items

The Frobenius conjugacy class for abelian varieties with ordinary reduction, 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.), Representations of Weil-Deligne groups and Frobenius conjugacy classes, Mod $p$ points on Shimura varieties of abelian type, Torus of moderate inertia

Cites Work

• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• Un scindage de la filtration de Hodge pour certaines variétés algébriques sur les corps locaux. (A splitting of the Hodge filtration for certain algebraic varieties over local fields)
• Der Dieudonnémodul einer polarisierten abelschen Mannigfaltigkeit vom CM-Typ. (The Dieudonné module of a polarized abelian CM-type variety)
• Categories tannakiennes
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