2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168400The goal of this paper is first of all to propose a strategy to attack the generalized Hodge conjecture for coniveau 2 complete intersections, and secondly to state a conjecture concerning the cones of effective cycle classes in intermediate dimensions. Our main results show that the generalized Hodge conjecture for coniveau 2 complete intersections would follow from a particular case of this effectiveness conjecture.Algebraic Geometry14C25, 14C30, 14M10, 14M15text