2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149907Drawing the secant through two rational points of a cubic surface we can get the third one. Is the set of rational points finitely generated? We discuss some numerical data and prove a finite generation statement with respect to a modified composition law.5 pages. AMS-TexAlgebraic GeometryMordell-Weil problem for cubic surfacestext