Syntomic cohomology and \(p\)-adic étale cohomology

DOI10.2748/tmj/1178227370zbMath0792.14008OpenAlexW1965139297MaRDI QIDQ1324166

Kazuya Kato, William Messing

Publication date: 25 July 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227370

zbMATH Keywords

\(p\)-adic étale cohomologyHodge-Tate decomposition\(p\)-adic vanishing cyclescrystalline conjecture

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Local ground fields in algebraic geometry (14G20) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

On the \(p\)-adic height of Heegner cycles ⋮ A prismatic approach to crystalline local systems ⋮ \(K\)-theory of log-schemes. II: Log-syntomic \(K\)-theory ⋮ On the $p$ adic nearby cycles of log smooth families ⋮ On uniqueness ofp-adic period morphisms, II ⋮ \(p\)-torsion étale cohomology and crystalline cohomology in semi-stable reduction ⋮ Abel-Jacobi mappings and finiteness of motivic cohomology groups ⋮ Crystalline conjecture via K-theory

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.
• F-isocrystals and De Rham cohomology. I
• \(p\)-adic étale cohomology
• A note on p-adic étale cohomology
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• Notes on Crystalline Cohomology. (MN-21)
• p-Adic Hodge Theory