2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77107We give the new effective criterion for the global generation of the adjoint bundle on normal surfaces with a boundary. We could make the invariant δsmall a bit more on log-terminal singular point, and then we could prove the theorem described in my previous paper "alg-geom/9612018" as a corollary.AmS-TeX 2.1 with 4 PostScript figures, 14pagesAlgebraic Geometry14J17; 14C20; 14E15text