## 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.volume6.8550
Autour de la conjecture de Tate entière pour certains produits de dimension $3$ sur un corps fini

Authors: Federico Scavia

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.

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)