2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119297We explain a method for calculating the cohomology of line bundles on a toric variety in terms of the cohomology of certain constructible sheaves on the polytope. We show its effective use by means of some examples.14 pagesAlgebraic Geometry14M25 (Primary); 32S60, 52B20 (Secondary)Cohomology of line bundles on a toric variety and constructible sheaves on its polytopetext