The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields

Details The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields

2003-04-01

arxiv.org/abs/math/0304014v1

Mathematics

Number Theory

LaTeX2e, 12 pages

Scientific paper

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).

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