Relative log convergent cohomology and relative rigid cohomology I

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dc.creatorShiho, Atsushi
dc.date2007-07-12
dc.date2008-05-21
dc.date.accessioned2026-07-07T09:39:45Z
dc.date.available2026-07-07T09:39:45Z
dc.descriptionIn this paper, we develop the theory of relative log convergent cohomology. We prove the coherence of relative log convergent cohomology in certain case by using the comparison theorem between relative log convergent cohomlogy and relative log crystalline cohomology, and we relates relative log convergent cohomology to relative rigid cohomology to show the validity of Berthelot's conjecture on the coherence and the overconvergence of relative rigid cohomology for proper smooth families when they admit nice proper log smooth compactification to which the coefficient extends logarithmically.
dc.description69 pages. Errors and typos fixed
dc.identifierhttps://arxiv.org/abs/0707.1742
dc.identifierhttp://arxiv.org/abs/0707.1742
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161293
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14F30
dc.titleRelative log convergent cohomology and relative rigid cohomology I
dc.typetext

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