2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75637We show that the moduli space of ordered 5 points on the projective line is isomorphic to an arithmetic quotient of a complex ball by using the theory of periods of K3 surfaces. We also discuss a relation between our uniformization and the one given by Shimura, Terada and Deligne-Mostow.15 pagesAlgebraic Geometry14J10; 14J28The moduli space of 5 points on P^1 and K3 surfacestext