Overholonomicity of overconvergent $F$-isocrystals over smooth varieties

Simple item page
dc.creatorCaro, Daniel
dc.creatorTsuzuki, Nobuo
dc.date2008-03-14
dc.date.accessioned2026-07-07T09:26:51Z
dc.date.available2026-07-07T09:26:51Z
dc.descriptionWe prove the overholonomicity of overconvergent $F$-isocrystals over smooth varieties. This implies that the notions of overholonomicity and devissability in overconvergent $F$-isocrystals are equivalent. Then the overholonomicity is stable under tensor products. So, the overholonomicity gives a $p$-adic cohomology stable under Grothendieck's cohomological operations.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/0803.2105
dc.identifierhttp://arxiv.org/abs/0803.2105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156897
dc.subjectAlgebraic Geometry
dc.subject14F30
dc.titleOverholonomicity of overconvergent $F$-isocrystals over smooth varieties
dc.typetext

Files

Collections

arXiv