Tensor products in \(p\)-adic Hodge theory

DOI10.1215/S0012-7094-96-08304-0zbMath0873.14019MaRDI QIDQ1918371

Burt Totaro

Publication date: 6 November 1996

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

zbMATH Keywords

geometric invariant theorycharacteristic \(p\)crystalline cohomologyHodge numbers\(p\)-adic Hodge theorytensor product of weakly admissible filtered isocrystals

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (16)

An Introduction to p-Adic Hodge Theory ⋮ Eigenvalues of Hermitian matrices with positive sum of bounded rank ⋮ 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.) ⋮ Concerning the semistability of tensor products in Arakelov geometry ⋮ Connectedness of the Tannakian group attached to semi-stable multiple filtrations ⋮ First steps towards p-adic Langlands functoriality ⋮ The cohomology of period domains for reductive groups over finite fields ⋮ \(p\)-adic étale cohomology of period domains ⋮ The fundamental group of period domains over finite fields ⋮ The algebraic groups leading to the Roth inequalities ⋮ Tensor product and semi-stability: four variations on a theme ⋮ Représentations $p$-adiques et normes universelles I. Le cas cristallin ⋮ Maximal slope of tensor product of Hermitian vector bundles ⋮ Mazur's inequality and Laffaille's theorem ⋮ On Harder-Narasimhan filtrations and their compatibility with tensor products ⋮ The cohomology of period domains for reductive groups over local fields

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• Groupes $p$-divisibles et modules filtrés : le cas peu ramifié
• Notes on Crystalline Cohomology. (MN-21)
• Period Spaces for "p"-divisible Groups (AM-141)
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC

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