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

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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).
LaTeX2e, 12 pages

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Number Theory, Algebraic Geometry, 14C25; 14G15; 11G25

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http://salesiana.dossiersoluciones.com/handle/123456789/66960

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304014
 http://arxiv.org/abs/math/0304014

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arXiv