%0 Journal Article %T Coniveau 2 complete intersections and effective cones %A Claire Voisin %J Mathematics %D 2008 %I arXiv %X The 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. %U http://arxiv.org/abs/0809.0870v1