2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78259This paper contains a Kawamata-Viehweg-Kollár type vanishing theorem for vector bundles. In order to formulate and prove this cleanly, we introduce a class of sheaves that automatically satisfies a vanishing theorem. This is obtained by closing up the subclass of sheaves of adjoint type under extensions, direct images, and taking direct summands.16 pages, latex; fin. revision; to appear in Math. AnnAlgebraic Geometrytext