2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135089We 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 pagesAlgebraic Geometry14G05Potential density of rational points on the variety of lines of a cubic fourfoldtext