2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73968We prove the Hodge-Riemann bilinear relations, the hard Lefschetz theorem and the Lefschetz decomposition for compact Kahler manifolds in the mixed situation.11 pages, to appear in GAFAComplex VariablesAlgebraic Geometry32Q15; 58A14; 14FxxThe mixed Hodge-Riemann bilinear relations for compact Kahler manifoldstext