Autour de la conjecture de Tate enti\`ere pour certains produits de dimension 3 sur un corps fini

Abstract

Let X be the product of a surface satisfying b2= and of a curve over a finite field. We study a strong form of the integral Tate conjecture for 1-cycles on X. We generalize and give unconditional proofs of several results of our previous paper with J.-L. Colliot-Th\'el\`ene.

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