2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76631We prove Reider type criterions for k-jet spannedness and k-jet ampleness of adjoint bundles for surfaces with at most rational singularities. Moreover, we prove that on smooth surfaces [n(n+4)/4]-very ampleness implies n-jet ampleness.11 pages in AMS-TeXAlgebraic Geometrytext