2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75221Let $X$ be a scheme over a field $K$ and let $M_X$ be the intersection of all subfields $L$ of $\bar K$ such that $X$ has a $L$-valued point. In this note we prove that for a variety $X$ over a field $K$ finitely generated over its prime field one has that $M_X = K$6 pagesNumber TheoryAlgebraic Geometry14G05; 11G25; 11G35text