2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145505Let X be a non-singular projective hypersurface of degree 4, which is defined over the rational numbers. Assume that X has dimension 39 or more, and that X contains a real point and p-adic points for every prime p. Then X is shown to contain infinitely many rational points.47 pagesNumber TheoryAlgebraic Geometry11D72 (Primary) 11P55, 14G05 (Secondary)text