Tate conjecture and mixed perverse sheaves

dc.creatorSaito, Morihiko
dc.date2006-03-27
dc.date2007-06-12
dc.date.accessioned2026-07-07T08:05:07Z
dc.date.available2026-07-07T08:05:07Z
dc.descriptionUsing the theory of mixed perverse sheaves, we extend arguments on the Hodge conjecture initiated by Lefschetz and Griffiths to the case of the Tate conjecture, and show that the Tate conjecture for divisors is closely related to the de Rham conjecture for nonproper varieties, finiteness of the Tate-Shafarevich groups, and also to some conjectures in the analytic number theory.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0603622
dc.identifierhttp://arxiv.org/abs/math/0603622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130176
dc.subjectAlgebraic Geometry
dc.subject14C25
dc.titleTate conjecture and mixed perverse sheaves
dc.typetext

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