Fibrations et conjecture de Tate

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We 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.
21 pages, revised version

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Number Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/69320

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311417
 http://arxiv.org/abs/math/0311417
 Journal of Number Theory 112 (2005) 345 -- 368

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arXiv