2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60439We consider Fujita's freeness conjecture in a relative setting and prove a criterion by proving a correct Q-divisor version of the Kollar vanishing theorem.13 pages, Latex2eAlgebraic Geometry14C20;14D07;14F17On a Relative Version of Fujita's Freeness Conjecturetext