Abelian varieties and transversal index theorems
arXiv:1608.08555
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.
Title changed. Final form, to appear in Analysis, Geometry and Number Theory