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Federico Scavia - Autour de la conjecture de Tate entière pour certains produits de dimension $3$ sur un corps fini
epiga:8550 - Épijournal de Géométrie Algébrique, June 7, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.volume6.8550Autour de la conjecture de Tate entière pour certains produits de
dimension $3$ sur un corps finiArticle
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-Thélène.
Comment: in French. Improves on the results of arXiv:2001.10515. Final version
Source: arXiv.org:2110.00786
Volume: Volume 6
Published on: June 7, 2022
Accepted on: June 7, 2022
Submitted on: October 5, 2021
Keywords: Mathematics - Algebraic Geometry, Mathematics - Number Theory, 14C25 (Primary) 14C35, 14G15 (Secondary)
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