2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155692There exists a function f: N -> N such that for every positive integer d, every quasi-finite field K and every projective hypersurface X of degree d and dimension at least f(d), the set X(K) is non-empty. This is a special case of a more general result about intersections of hypersurfaces of fixed degree in projective spaces of sufficiently high dimension over fields with finitely generated Galois groups.Introduction now acknowledges a paper of AxNumber Theory12E30text