Trace cohomology revisited
Algebraic Geometry
2025-03-03 v7 Number Theory
Operator Algebras
Abstract
We use a cohomology theory coming from the canonical trace on a C*-algebra of the projective variety to prove an analog of the Riemann Hypothesis for the Kuga-Sato varieties over finite fields.
Cite
@article{arxiv.1407.3982,
title = {Trace cohomology revisited},
author = {Igor V. Nikolaev},
journal= {arXiv preprint arXiv:1407.3982},
year = {2025}
}
Comments
to appear Annals of Functional Analysis. arXiv admin note: text overlap with arXiv:1309.2551