A note on Frobenius divided modules in mixed characteristics

zbMath1277.14016arXiv1003.2571MaRDI QIDQ4907719

Pierre Berthelot

Publication date: 22 February 2013

Full work available at URL: https://arxiv.org/abs/1003.2571

zbMATH Keywords

deformation theoryFrobenius morphismdescent theory\(D\)-modulesformal schemesFrobenius descentsheaves of differential operatorsdifferential sheaves

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Differential algebra (12H05) (p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25) Differential and difference algebra (12Hxx)

Related Items

Unramified \(F\)-divided objects and the étale fundamental pro-groupoid in positive characteristic ⋮ Convergent isocrystals on simply connected varieties

Cites Work

• Les suites spectrales associées au complexe de De Rham-Witt
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• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
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• Notes on Crystalline Cohomology. (MN-21)
• ${\cal D}$-modules arithmétiques. II: Descente par Frobenius
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
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