The Newton polygons of overconvergent F-crystals

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dc.creatorKedlaya, Kiran S.
dc.date2001-06-22
dc.date.accessioned2026-07-07T04:42:16Z
dc.date.available2026-07-07T04:42:16Z
dc.descriptionR. Crew conjectured that every overconvergent F-isocrystal over k((t)) (k a field of positive characteristic) is quasi-unipotent (equivalently, potentially semistable), and so has ``generic'' and ``special'' Newton polygons. It is easy to construct a Newton polygon for an arbitrary overconvergent F-crystal that coincides with the generic Newton polygon for potentially semistable crystals. We give an analogous construction for the special Newton polygon, by showing that the F-crystal can be trivialized over a large auxiliary ring. In a subsequent preprint, we use this construction to prove the aforementioned conjecture.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0106192
dc.identifierhttp://arxiv.org/abs/math/0106192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61709
dc.subjectAlgebraic Geometry
dc.subject14F30
dc.titleThe Newton polygons of overconvergent F-crystals
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