Explicit Frobenius descent for \({\mathcal D}^\dagger\)-modules

DOI10.1006/jabr.1997.7373zbMath0926.12006OpenAlexW2036906564MaRDI QIDQ1270385

K. Appert

Publication date: 29 November 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7373

zbMATH Keywords

Cartier operatorFrobenius descentCartier isomorphism\({\mathcal D}^\dagger\)-modulesDwork functioninfinite differential operator

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) (p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)

Related Items

Explicit calculation of Frobenius isomorphisms and Poincaré duality in the theory of arithmetic \(\mathcal D\)-modules, Coherence of certain overconvergent isocrystals without Frobenius structures on curves, A splitting of the Frobenius morphism on the whole algebra of distributions of \(\mathrm{SL}_2\), Product formula forp-adic epsilon factors, Descent of isocrystals and \({\mathcal D}^\dag\)-modules, ${\cal D}$-modules arithmétiques. II: Descente par Frobenius

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transversal crystals of finite level
• Modules différentiels sur les couronnes (Differential modules over annuli)
• On the index theorem for \(p\)-adic differential equations. II
• Katz correspondence and irregularity of overconvergent isocrystals of rank one
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• A formula for the Cartier operator on plane algebraic curves.
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Systèmes différentiels linéaires $p$-adiques, structure de Frobenius faible
• Sur le theoreme de finitude de la cohomologie p -adique d'une variete affine non singuliere.
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini