2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/277We give an upper bound for the minimal discrepancies of hypersurface singularities. As an application, we show that Shokurov's conjecture is true for log-terminal threefolds.12 pages, AMS-LaTeX 1.2Algebraic Geometry14E15 (Primary) 14B05, 14E30, 14J70 (Secondary)text