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arXiv · 1309.2551

Remark on Weil's conjectures

Igor Nikolaev
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Abstract

We introduce a cohomology theory for a class of projective varieties over a finite field coming from the canonical trace on a C*-algebra attached to the variety. Using the cohomology, we prove the rationality, functional equation and the Betti numbers conjectures for the zeta function of the variety.

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Igor Nikolaev. 2013-09-10. Remark on Weil's conjectures. https://doi.org/10.1515/apam-2015-0052

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