2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158818Let X be a geometrically integral projective cubic hypersurface defined over the rationals, with dimension D and singular locus of dimension at most D-4. For any ε>0, we show that X contains O(B^{D+ε}) rational points of height at most B. The implied constant in this estimate depends upon the choice of εand the coefficients of the cubic form defining X.19 pagesNumber TheoryAlgebraic Geometry11G35 (Primary); 14G05, 14G10 (Secondary)Counting rational points on cubic hypersurfacestext