Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties

DOI10.4007/annals.2012.176.2.2zbMath1276.14031arXiv0803.2105OpenAlexW2172212672MaRDI QIDQ456663

Daniel Caro, Nobuo Tsuzuki

Publication date: 16 October 2012

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2105

zbMATH Keywords

rigid cohomologyarithmetic D-modulesGrothendieck's six operationsoverholonomicitysemistable reduction theorem

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30)

Related Items (16)

Notes on isocrystals ⋮ Differential equations and Lie group representations ⋮ Some elements on Berthelot's arithmetic \(\mathscr{D}\)-modules ⋮ Langlands correspondence for isocrystals and the existence of crystalline companions for curves ⋮ Lagrangianity for log extendable overconvergent \(F\)-isocrystals ⋮ Logarithmic \(p\)-bases and arithmetical differential modules ⋮ La surcohérence entraîne l'holonomie ⋮ Relative fundamental groups and rational points ⋮ Non-Archimedean geometry and applications. Abstracts from the workshop held January 30 -- February 5, 2022 ⋮ SUR LA PRÉSERVATION DE LA COHÉRENCE PAR IMAGE INVERSE EXTRAORDINAIRE D’UNE IMMERSION FERMÉE ⋮ Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules ⋮ Full faithfulness without Frobenius structure and partially overconvergent isocrystals ⋮ Local acyclicity in \(p\)-adic cohomology ⋮ BETTI NUMBER ESTIMATES IN -ADIC COHOMOLOGY ⋮ On stability of \(\mathcal{D}\)-modules under tensor product of complex ⋮ Bessel \(F\)-isocrystals for reductive groups

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