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Abelian varieties and transversal index theorems - MaRDI portal

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Abelian varieties and transversal index theorems

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Publication:5241438

DOI10.19272/201712501001zbMATH Open1423.11161arXiv1608.08555MaRDI QIDQ5241438

Author name not available (Why is that?)

Publication date: 31 October 2019

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.


Full work available at URL: https://arxiv.org/abs/1608.08555



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