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Fibrations et conjecture de Tate

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 Added by Amilcar Pacheco
 Publication date 2003
  fields
and research's language is English




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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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