La conjecture de Tate enti\`ere pour les cubiques de dimension quatre
Algebraic Geometry
2019-02-20 v3 Number Theory
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.
Keywords
Cite
@article{arxiv.1301.4022,
title = {La conjecture de Tate enti\`ere pour les cubiques de dimension quatre},
author = {François Charles and Alena Pirutka},
journal= {arXiv preprint arXiv:1301.4022},
year = {2019}
}
Comments
the main result is now stated over an algebraically closed field