Foliated dynamical systems associated to ordinary abelian varieties over finite fields

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01358089
Contributor : Francesco Lemma <>
Submitted on : Wednesday, August 31, 2016 - 9:23:55 AM
Last modification on : Sunday, March 31, 2019 - 1:16:47 AM

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  • HAL Id : hal-01358089, version 1
  • ARXIV : 1608.08555

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

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