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Preprints, Working Papers, ... Year : 2009

Images directes III: F-isocristaux surconvergents

Abstract

This article is the third one of a series of three articles devoted to direct images of isocrystals: here we consider overconvergent isocrystals with Frobenius structure. For a liftable proper smooth morphism we establish the overconvergence of direct images, owing to the first article and the existence of lifts of Frobenius. This result partially answers a conjecture of Berthelot on the overconvergence of direct images of overconvergent F-isocrystals under a proper smooth morphism.
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Dates and versions

hal-00425922 , version 1 (22-10-2009)

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Jean-Yves Etesse. Images directes III: F-isocristaux surconvergents. 2009. ⟨hal-00425922⟩
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