2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154350We prove a few splitting criteria for vector bundles on a quadric hypersurface and Grassmannians. We give also some cohomological splitting conditions for rank 2 bundles on multiprojective spaces. The tools are monads and a Beilinson's type spectral sequence generalized by Costa and MirĂ³-Roig.9 pages, no figuresAlgebraic Geometry14F05, 14J60, 18E30A Few Splitting Criteria for Vector Bundlestext