Crystalline $$\mathbb {Z}_p$$-Representations and $$A_{\inf }$$-Representations with Frobenius

DOI10.1007/978-3-030-43844-9_6zbMath1440.14118OpenAlexW3035662066MaRDI QIDQ5119712

Takeshi Tsuji

Publication date: 1 September 2020

Published in: Simons Symposia (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43844-9_6

zbMATH Keywords

integral \(p\)-adic Hodge theory\(A_{\inf}\)-cohomologyrelative Fontaine-Laffaille theory

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) de Rham cohomology and algebraic geometry (14F40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

• Purity for Hodge-Tate representations
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• Integral \(p\)-adic Hodge theory
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• The p-adic Simpson Correspondence
• Construction de représentations $p$-adiques
• The explicit reciprocity law and the cohomology of Fontaine-Messing
• Notes on Crystalline Cohomology. (MN-21)
• p-Adic Hodge Theory
• Specializing varieties and their cohomology from characteristic 0 to characteristic 𝑝
• Représentations p-adiques cristallines et de de Rham dans le cas relatif
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