2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76829We proved the existence of rational curves in every linear system on a general K3 surface and that all rational curves in the hyperplane class are nodal on a general K3 surface of small genus.34 pages, AMSLatex, To Appear on JAGAlgebraic Geometry14H45;14D15text