Abelian varieties and transversal index theorems
Number Theory
2017-06-20 v2 Dynamical Systems
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.
Cite
@article{arxiv.1608.08555,
title = {Abelian varieties and transversal index theorems},
author = {Ouidad Filali and Francesco Lemma},
journal= {arXiv preprint arXiv:1608.08555},
year = {2017}
}
Comments
Title changed. Final form, to appear in Analysis, Geometry and Number Theory