Remark on Weil's conjectures
Algebraic Geometry
2016-10-05 v4 Number Theory
Operator Algebras
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.
Cite
@article{arxiv.1309.2551,
title = {Remark on Weil's conjectures},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:1309.2551},
year = {2016}
}
Comments
to appear Advances Pure and Applied Mathematics, De Gruyter