2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72406In this mostly expository note we give a down-to-earth introduction to the V-filtration of M. Kashiwara and B. Malgrange on D-modules. We survey some applications to generalized Bernstein-Sato polynomials, multiplier ideals, and monodromy of vanishing cycles.To appear in "Geometric methods in algebra and number theory" Proceedings of a December 2003 conference at the University of Miami, edited by F. Bogomolov and Yu. TschinkelAlgebraic Geometrytext