2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77403We examine the finite group actions on K3 and Abelian surfaces giving the same orbit space after desingularization. We show that when the group is not Z_2, then the Picard number of the K3 surface must be 19 or 20, and that in the latter case the Abelian surface is uniquely determined by the K3 surface.LaTeX 2.09, 5 pages, To appear in Manuscripta MathAlgebraic Geometrytext