Unipotency and semistability of overconvergent F-crystals

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dc.creatorKedlaya, Kiran S.
dc.date2001-02-21
dc.date2001-05-29
dc.date.accessioned2026-07-07T04:40:18Z
dc.date.available2026-07-07T04:40:18Z
dc.descriptionIn this paper (part of the author's PhD thesis), we introduce the notions of semistability and potential semistability of overconvergent F-crystals over an equal characteristic local field. We establish their equivalence with the notions of unipotency and quasi-unipotency given by Crew, and to recast the conjecture that every overconvergent crystal is quasi-unipotent in terms of potential semistability. Consequences, including an extension of de Jong's extension theorem for F-crystals to the logarithmic case, will appear in a subsequent paper.
dc.description24 pages; typos corrected, notation modified
dc.identifierhttps://arxiv.org/abs/math/0102173
dc.identifierhttp://arxiv.org/abs/math/0102173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60987
dc.subjectAlgebraic Geometry
dc.subject14F30
dc.titleUnipotency and semistability of overconvergent F-crystals
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