2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221452We study the first step of the weight filtration on the cohomology of a proper complex algebraic variety, which we call the combinatorial part. We obtain a natural upper bound on its size, which gives rather strong information about the topology of rational singularities.9 pagesAlgebraic GeometryThe combinatorial part of the cohomology of a singular varietytext