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arxiv: math/0304014 · v1 · submitted 2003-04-01 · 🧮 math.NT · math.AG

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

classification 🧮 math.NT math.AG
keywords conjecturecubicfourfoldsordinarytatefieldsfinitemath
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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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