2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67494We give a Hodge-theoretic interpretation of the multiplier ideal of an effective divisor on a smooth complex variety. More precisely, we show that the associated graded coherent sheaf with respect to the jumping-number filtration can be recovered from the smallest piece of M. Saito's Hodge filtration of the D-module of vanishing cycles.5 pagesAlgebraic Geometry14E15; 32S40text