The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
Recently N. Levin (Comp. Math. 127 (2001), 1--21) proved the Tate conjecture for ordinary cubic fourfolds over finite fields. In this paper we prove the Tate conjecture for self-products of ordinary cubic fourfolds. Our proof is based on properties of so called polynomials of K3 type introduced by the author (Duke Math. J. 72 (1993), 65--83).
Cite
@article{arxiv.math/0304014,
title = {The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:math/0304014},
year = {2007}
}
Comments
LaTeX2e, 12 pages