2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60461This paper reproves a general form of the Green-Lazarsfeld 'generic vanishing' theorem and more recent strengthenings, as well as giving some new applications.Latex2e file, 33 pagesAlgebraic Geometry14F17, 14D15, 14K12, 14K25Deformations of the trivial line bundle and vanishing theoremstext