Abelian varieties and transversal index theorems
  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. 
Ouidad Filali and Francesco Lemma
math.NT math.DS