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Pré-Publication, Document De Travail Année : 2016

Foliated dynamical systems associated to ordinary abelian varieties over finite fields

Ouidad Filali
  • Fonction : Auteur

Résumé

We interpret the "explicit formula" in the sense of analytic number theory for the zeta function of an ordinary abelian variety of dimension g over a finite field as a transversal index theorem on a (2g+1)-dimensional Riemannian foliated space. This generalizes a work of Deninger for elliptic curves.

Dates et versions

hal-01358089 , version 1 (31-08-2016)

Identifiants

Citer

Francesco Lemma, Ouidad Filali. Foliated dynamical systems associated to ordinary abelian varieties over finite fields. 2016. ⟨hal-01358089⟩
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