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Remark on Weil’s conjectures

Remark on Weil’s conjectures AbstractWe introduce a cohomology theory for a class of projectivevarieties over a finite field coming from the canonical traceon a C*${C^{*}}$-algebra attached to the variety.Using the cohomology, we prove the rationality, functional equation and the Betti numbersconjectures for the zeta function of the variety. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

Remark on Weil’s conjectures

Nikolaev, Igor
Advances in Pure and Applied Mathematics , Volume 7 (4): 9 – Oct 1, 2016
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Publisher
de Gruyter
Copyright
© 2016 by De Gruyter
ISSN
1869-6090
eISSN
1869-6090
DOI
10.1515/apam-2015-0052
Publisher site
See Article on Publisher Site

Abstract

AbstractWe introduce a cohomology theory for a class of projectivevarieties over a finite field coming from the canonical traceon a C*${C^{*}}$-algebra attached to the variety.Using the cohomology, we prove the rationality, functional equation and the Betti numbersconjectures for the zeta function of the variety.

Journal

Advances in Pure and Applied Mathematics – de Gruyter

Published: Oct 1, 2016

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