2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74167The Hodge conjecture is shown to hold for rationally connected fivefolds, or more generally for fivefolds for which the base of the maximal rationally connected fibration is at most 3 dimensional.5 pages; references addedAlgebraic GeometryThe Hodge conjecture for rationally connected fivefoldstext