On the Tate and Standard Conjectures over Finite Fields
Algebraic Geometry
2019-07-10 v1 Number Theory
Abstract
For an abelian variety over a finite field, Clozel (1999) showed that l-homological equivalence coincides with numerical equivalence for infinitely many l, and the author (1999) gave a criterion for the Tate conjecture to follow from Tate's theorem on divisors. We generalize both statements to motives, and apply them to other varieties including K3 surfaces.
Cite
@article{arxiv.1907.04143,
title = {On the Tate and Standard Conjectures over Finite Fields},
author = {James S Milne},
journal= {arXiv preprint arXiv:1907.04143},
year = {2019}
}
Comments
The pdf file on my webpage is more robust