Syntomic cycle classes and prismatic Poincaré duality

DOI10.1112/S0010437X24007334MaRDI QIDQ6622801

Longke Tang

Publication date: 22 October 2024

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

Poincaré duality\(p\)-adic Hodge theorycycle class

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) de Rham cohomology and algebraic geometry (14F40) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• Integral \(p\)-adic Hodge theory
• A universal characterization of higher algebraic \(K\)-theory
• The \(\operatorname{arc}\)-topology
• Hyperdescent and étale \(K\)-theory
• Prisms and prismatic cohomology
• The \(p\)-completed cyclotomic trace in degree 2
• Projectivity of the Witt vector affine Grassmannian
• Topological Hochschild homology and integral \(p\)-adic Hodge theory
• 𝐾-theory and topological cyclic homology of henselian pairs
• The geometry of filtrations
• Higher Topos Theory (AM-170)
• Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory
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