Systèmes différentiels linéaires $p$-adiques, structure de Frobenius faible

DOI10.24033/bsmf.1933zbMath0459.12020OpenAlexW2584302533MaRDI QIDQ3909139

Gilles Christol

Publication date: 1981

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1981__109__83_0

zbMATH Keywords

infinite product decompositionp-adic analytic functionsFrobenius operation on linear differential equations

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) (p)-adic differential equations (12H25) Non-Archimedean valued fields (12J25)

Related Items

Une introduction naïve aux cohomologies de Dwork ⋮ Monodromie unipotente maximale, congruences “à la Lucas” et indépendance algébrique ⋮ Effective \(p\)-adic bounds at regular singular points ⋮ Explicit Frobenius descent for \({\mathcal D}^\dagger\)-modules ⋮ Unnamed Item ⋮ ${\cal D}$-modules arithmétiques. II: Descente par Frobenius

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• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Equations différentielles à points singuliers réguliers
• On Ordinary Linear p-Adic Differential Equations