Relative log convergent cohomology and relative rigid cohomology II

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dc.creatorShiho, Atsushi
dc.date2007-07-12
dc.date2008-05-21
dc.date.accessioned2026-07-07T09:39:46Z
dc.date.available2026-07-07T09:39:46Z
dc.descriptionIn this paper, we develop the theory of relative log convergent cohomology of radius $λ$ ($0 < λ\leq 1$), which is a generalization of the notion of relative log convergent cohomology in the previous paper. By comparing this cohomology with relative log crystalline cohomology, relative rigid cohomology and its variants and by using some technique of hypercovering, we prove a version of Berthelot's conjecture on the overconvergence of relative rigid cohomology for proper smooth families.
dc.description80 pages, minor errors and typos fixed
dc.identifierhttps://arxiv.org/abs/0707.1743
dc.identifierhttp://arxiv.org/abs/0707.1743
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161294
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14F30
dc.titleRelative log convergent cohomology and relative rigid cohomology II
dc.typetext

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