Cohomology of prismatic crystals

DOI10.12386/A20230162MaRDI QIDQ6631973

Yichao Tian

Publication date: 4 November 2024

Published in: Acta Mathematica Sinica. Chinese Series (Search for Journal in Brave)

zbMATH Keywords

étale cohomologycrystalline cohomology\(p\)-adic Hodge theoryprismatic cohomology

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

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• Nonabelian Hodge theory in characteristic \(p\)
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• Integral \(p\)-adic Hodge theory
• Prisms and prismatic cohomology
• Twisted differential operators of negative level and prismatic crystals
• Topological Hochschild homology and integral \(p\)-adic Hodge theory
• On the crystalline period map
• \(p\)-adic Hodge theory for rigid-analytic varieties
• Crystalline conjecture via K-theory
• p-Adic Hodge Theory
• Lifting the Carter Transform of Ogus-Vologodsky modulo p^n
• Finiteness and duality for the cohomology of prismatic crystals
• Prismatic and \(q\)-crystalline sites of higher level

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