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arXiv · 2110.00786

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

Federico Scavia
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Abstract

Let $X$ be the product of a surface satisfying $b_2=\rho$ 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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Federico Scavia. 2021-10-03. Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini. https://doi.org/10.46298/epiga.2022.volume6.8550

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