Differential coherence of unit-root \(F\)-isocrystals

DOI10.1016/j.crma.2003.10.030zbMath1047.14009OpenAlexW2049489898MaRDI QIDQ1426566

Daniel Caro

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.030

zbMATH Keywords

differential operatorsFrobenius endomorphismformal schemecomplete valuation ring\(F\)-isocrystals

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

On the compability of the Frobenius isomorphism with relative duality ⋮ Comparing the sheaves of overconvergent isocrystals ⋮ Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions. ⋮ $\mathcal{D}$-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse ⋮ Log-isocristaux surconvergents et holonomie

Cites Work

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• Smoothness, semi-stability and alterations
• Morphisms of \(F\)-isocrystals and the finite monodromy theorem for unit-root \(F\)-isocrystals.
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Dualité locale et holonomie pour les ${\cal D}$-modules arithmétiques
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini

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