{ "id": "0912.0727", "version": "v1", "published": "2009-12-03T20:32:59.000Z", "updated": "2009-12-03T20:32:59.000Z", "title": "Lawson Homology for projective varieties with C^*-action", "authors": [ "Wenchuan Hu" ], "comment": "13 pages", "categories": [ "math.AG" ], "abstract": "The Lawson homology of a smooth projective variety with a $\\C^*$-action is given in terms of that of the fixed point set of this action. We also consider such a decomposition for the Lawson homology of certain singular projective varieties with a $\\C^*$-action. As applications, we calculate the Lawson homology and higher Chow groups for several examples.", "revisions": [ { "version": "v1", "updated": "2009-12-03T20:32:59.000Z" } ], "analyses": { "subjects": [ "14L30", "14F43" ], "keywords": [ "lawson homology", "higher chow groups", "smooth projective variety", "fixed point set", "singular projective varieties" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0912.0727H" } } }