2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136797Given a singular curve on a smooth surface, we determine which exceptional divisors on the minimal resolution of that curve contribute toward its jumping numbers.Added reference to Favre & Jonsson and a slight extension of the comment immediately following Definition 2.1Algebraic Geometry14B05 (Primary); 14H20, 32S05 (Secondary)text