2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65994We prove that if f is a self-map of an algebraic variety over a field K, then under certain conditions on X, f and K the set of possible periods of K-valued periodic points of f is finite.We correct a wrong remark in the published version of this paper by showing how the results of that paper can be extended to certain birational mapsNumber TheoryAlgebraic Geometrytext