Descent of morphisms of overconvergent F-crystals

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dc.creatorKedlaya, Kiran S.
dc.date2001-05-29
dc.date.accessioned2026-07-07T04:41:54Z
dc.date.available2026-07-07T04:41:54Z
dc.descriptionTsuzuki has conjectured that for crystals with Frobenius and connection over a local field k((t)), the embedding of the category of overconvergent crystals into the category of convergent crystals is fully faithful. We prove Tsuzuki's conjecture restricted to the subcategory of potentially semistable (or quasi-unipotent) crystals, following de Jong's proof of a slightly weaker result. We also prove Tsuzuki's conjecture restricted to crystals with at most two distinct slopes.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0105244
dc.identifierhttp://arxiv.org/abs/math/0105244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61555
dc.subjectAlgebraic Geometry
dc.subject14F30
dc.titleDescent of morphisms of overconvergent F-crystals
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