Crystalline conjecture via K-theory

DOI10.1016/S0012-9593(98)80003-7zbMath0929.14009OpenAlexW2159534037WikidataQ123194245 ScholiaQ123194245MaRDI QIDQ4217464

Wiesława Nizioł

Publication date: 9 March 1999

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1998_4_31_5_659_0

zbMATH Keywords

algebraic \(K\)-theoryétale cohomologycrystalline cohomologyrational crystalline conjecturesyntomic Chern classesThomason's comparison theorem

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30) Relations of (K)-theory with cohomology theories (19E20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

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A Short Review on Local Shtukas and Divisible Local Anderson Modules ⋮ An Introduction to p-Adic Hodge Theory ⋮ Remarks on \(K(1)\)-local \(K\)-theory ⋮ Algebraic geometry in mixed characteristic ⋮ A prismatic approach to crystalline local systems ⋮ Local shtukas, Hodge-Pink structures and Galois representations ⋮ \(K\)-theory of log-schemes. II: Log-syntomic \(K\)-theory ⋮ Notes on the $$\mathbb A_{{\mathrm {inf}}}$$-Cohomology of Integral p-Adic Hodge Theory ⋮ On uniqueness ofp-adic period morphisms, II ⋮ Semistable conjecture via \(K\)-theory ⋮ Syntomic complexes and \(p\)-adic nearby cycles ⋮ Product formulas for periods of CM abelian varieties and the function field analog ⋮ On -local ⋮ Torsion of abelian varieties and Lubin-Tate extensions ⋮ Control theorem for Bloch-Kato's Selmer groups of \(p\)-adic representations ⋮ The \(\text{K}\)-theory of perfectoid rings ⋮ 𝐾-theory and topological cyclic homology of henselian pairs ⋮ Hodge theory of $p$-adic varieties: a survey

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