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Fibrations et conjecture de Tate

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 نشر من قبل Amilcar Pacheco
 تاريخ النشر 2003
  مجال البحث
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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 Tates conjecture (for divisors) and generalises previous results of Nagao, Rosen-Silverman and the authors.

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