2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118197It is proved that the non-rationality of a generic cubic fourfold follows from a conjecture on the non-decomposability in the direct sum of non-trivial polarized Hodge structures of the polarized Hodge structure on transcendental cycles on a projective surface.9 pagesAlgebraic Geometrytext