La conjecture de Tate entière pour les cubiques de dimension quatre
arXiv:1301.4022 · doi:10.1112/S0010437X14007386
Abstract
We prove the Tate conjecture for integral degree 4 classes on a smooth cubic hypersurface X of dimension 4 over an algebraic closure of a field finitely generated over its prime subfield.
the main result is now stated over an algebraically closed field