Corpus ID: 118070323

Fonction L de Hasse-Weil d'une Variete Abelienne sur un Corps de Fonction Algebrique a Reduction Semi-stable

@article{Trihan2002FonctionLD,
  title={Fonction L de Hasse-Weil d'une Variete Abelienne sur un Corps de Fonction Algebrique a Reduction Semi-stable},
  author={Fabien Trihan},
  journal={Journal of Mathematical Sciences-the University of Tokyo},
  year={2002},
  volume={9},
  pages={279-301}
}
  • Fabien Trihan
  • Published 2002
  • Mathematics
  • Journal of Mathematical Sciences-the University of Tokyo
In the Birch/Swinnerton-Dyer conjecture, one studies the behaviour of the Hasse-Weil L-function of an abelian variety. In the case of function fields of characteristic p > 0, one needs to know the p-adic valuation of the leading coefficient of this function at s = 1 and therefore, needs a Grothendieck-type cohomological interpretation of it in terms of a “good” p-adic cohomology (integral if possible) as it was shown in [Ba] in the good reduction case. We give such interpretation in the semi… Expand
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