Logarithmic Hodge-Witt forms and Hyodo-Kato cohomology.

DOI10.1006/jabr.2001.8802zbMath1085.14506OpenAlexW2026100198MaRDI QIDQ1599270

Pierre Lorenzon

Publication date: 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8802

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)

Related Items (8)

A new proof of a vanishing result due to Berthelot, Esnault, and Rülling ⋮ THE p-COHOMOLOGY OF ALGEBRAIC VARIETIES AND SPECIAL VALUES OF ZETA FUNCTIONS ⋮ Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic \(p>0\) and log weak Lefschetz conjecture for log crystalline cohomologies ⋮ Artin-Mazur heights and Yobuko heights of proper log smooth schemes of Cartier type, and Hodge-Witt decompositions and Chow groups of quasi-\(F\)-split threefolds ⋮ Rational points over finite fields for regular models of algebraic varieties of Hodge type \(\geq 1\) ⋮ On the \(p\)-adic local invariant cycle theorem ⋮ Duality for relative logarithmic de Rham–Witt sheaves and wildly ramified class field theory over finite fields ⋮ Cohomology of \(p\)-adic Stein spaces

Cites Work

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• \(p\)-adic étale cohomology
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• Spectral sequence of weights in Hyodo-Kato cohomology
• Indexed algebras associated to a log structure and a theorem of \(p\)-descent on log schemes
• Slopes of powers of Frobenius on crystalline cohomology
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Logarithmic structures of Fontaine-Illusie. II
• Notes on Crystalline Cohomology. (MN-21)
• Syntomic complexes and p-adic vanishing cycles.

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