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arXiv · 1608.08555

Abelian varieties and transversal index theorems

Ouidad Filali·Francesco Lemma
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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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Ouidad Filali, Francesco Lemma. 2017-06-19. Abelian varieties and transversal index theorems. https://arxiv.org/abs/1608.08555

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