Potential density of rational points on the variety of lines of a cubic fourfold

Abstract

We prove the potential density of rational points on the variety of lines of a sufficiently general cubic fourfold defined over a number field, where ``sufficiently general'' means that a condition of Terasoma type is satisfied. These varieties have trivial canonical bundle and have geometric Picard group equal to $\mathbb{Z}$.

LaTeX, 22 pages

References in corpus (1)

• Potential density of rational points for K3 surfaces over function fields