2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77349Let $S \subset ¶^n$ be a smooth quartic hypersurface defined over a number field $K$. If $n \ge 4$, then for some finite extension $K'$ of $K$ the set $S(K')$ of $K'$-rational points of $S$ is Zariski dense.32 pages; LaTeXAlgebraic GeometryNumber Theory14G05, 11D25text