2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150093We extend results on Weierstrass semigroups at ramified points of double covering of curves to any numerical semigroup whose genus is large enough. As an application we strengthen the properties concerning Weierstrass weights in \cited{To}.Latex2e, ICTP preprintAlgebraic Geometrytext