Cohomology of analytical \(p\)-adic curves

DOI10.4310/CJM.2022.v10.n3.a1MaRDI QIDQ2159478

Pierre Colmez, Wiesława Nizioł, Gabriel Dospinescu

Publication date: 1 August 2022

Published in: Cambridge Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06647

zbMATH Keywords

Jacobiancomparison theoremde Rham cohomologyPicard group\(p\)-adic integrationsyntomic cohomologyuniversal extensionanalytic curvescrystalline cohomologyBerkovich spacesPicard-Lefschetz formulaHyodo-Kato cohomologyadic spacesproétale cohomology

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30) Curves in algebraic geometry (14H99) Curves in algebraic geometry (14Hxx) (Co)homology theory in algebraic geometry (14Fxx)

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Factorisation de la cohomologie étale p-adique de la tour de Drinfeld ⋮ Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1

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