2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161725We obtain a sharp bound on the degree of a globally generated vector bundle over a reduced irreducible projective variety defined over an algebraically closed field of characteristic zero. As an application, we obtain a Del Pezzo-Bertini type theorem on varieties of minimal degree for subvarieties of Grassmannians.9 pages, to appear in Mathematische ZeitschriftAlgebraic Geometrytext