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

Yuri G. Zarhin
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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).

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Yuri G. Zarhin. 2003-04-01. The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields. https://arxiv.org/abs/math/0304014

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