Local monodromy of p-adic differential equations: an overview

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dc.creatorKedlaya, Kiran S.
dc.date2005-01-22
dc.date2005-05-23
dc.date.accessioned2026-07-07T06:31:14Z
dc.date.available2026-07-07T06:31:14Z
dc.descriptionThis primarily expository article collects together some facts from the literature about the monodromy of differential equations on a p-adic (rigid analytic) annulus, though often with simpler proofs. These include Matsuda's classification of quasi-unipotent nabla-modules, the Christol-Mebkhout construction of the ramification filtration, and the Christol-Dwork Frobenius antecedent theorem. We also briefly discuss the p-adic local monodromy theorem without proof.
dc.description45 pages; v2: refereed version, minor corrections; to appear in International Journal of Number Theory
dc.identifierhttps://arxiv.org/abs/math/0501361
dc.identifierhttp://arxiv.org/abs/math/0501361
dc.identifierpreprint; published version: Intl J. Number Theory 1 (2005), 109-154.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98547
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14F30; 14F40
dc.titleLocal monodromy of p-adic differential equations: an overview
dc.typetext

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