Sur l'holonomie de D-modules arithmétiques associés à des F-isocristaux surconvergents sur des courbes lisses

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dc.creatorNoot-Huyghe, Christine
dc.creatorTrihan, Fabien
dc.date2007-05-03
dc.date2007-07-05
dc.date.accessioned2026-07-07T08:13:52Z
dc.date.available2026-07-07T08:13:52Z
dc.descriptionWe show that the arithmetic D-module associated to an overconvergent F-isocrystal over a smooth curve is holonomic. We first prove that unipotent F-isocrystals are holonomic D-module by using the fact that such F-isocrystals come from logarithmic F-isocrystals. We deduce the general case from the semi-stable theorem for F-isocrystals over curves of Matsuda-Trihan which relies on the p-adic monodromy theorem independently proved by André, Kedlaya and Mebkhout. The main result has already been proved by D. Caro.
dc.identifierhttps://arxiv.org/abs/0705.0416
dc.identifierhttp://arxiv.org/abs/0705.0416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132923
dc.subjectAlgebraic Geometry
dc.titleSur l'holonomie de D-modules arithmétiques associés à des F-isocristaux surconvergents sur des courbes lisses
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