2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149989We give an elementary algebraic proof of some asymptotic estimates (called by Demailly asymptotic Morse inequalities) for the dimensions of cohomology groups of the difference of two ample line bundles on a smooth complex projective variety of any dimension.6 pages, AMSTeXAlgebraic Geometrytext