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)

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