{ "id": "0809.0870", "version": "v1", "published": "2008-09-04T17:59:41.000Z", "updated": "2008-09-04T17:59:41.000Z", "title": "Coniveau 2 complete intersections and effective cones", "authors": [ "Claire Voisin" ], "categories": [ "math.AG" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2008-09-04T17:59:41.000Z" } ], "analyses": { "subjects": [ "14C25", "14C30", "14M10", "14M15" ], "keywords": [ "complete intersections", "effective cones", "generalized hodge conjecture", "effectiveness conjecture", "effective cycle classes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0809.0870V" } } }