Fibrations et conjecture de Tate

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dc.creatorHindry, Marc
dc.creatorPacheco, Amilcar
dc.creatorWazir, Rania
dc.date2003-11-24
dc.date2004-02-02
dc.date.accessioned2026-07-07T05:03:12Z
dc.date.available2026-07-07T05:03:12Z
dc.descriptionWe describe the behaviour of the rank of the Mordell-Weil group of the Picard variety of the generic fibre of a fibration in terms of local contributions given by averaging traces of Frobenius acting on the fibres. The results give a reinterpretation of Tate's conjecture (for divisors) and generalises previous results of Nagao, Rosen-Silverman and the authors.
dc.description21 pages, revised version
dc.identifierhttps://arxiv.org/abs/math/0311417
dc.identifierhttp://arxiv.org/abs/math/0311417
dc.identifierJournal of Number Theory 112 (2005) 345 -- 368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69320
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleFibrations et conjecture de Tate
dc.typetext

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