{ "id": "1506.07426", "version": "v1", "published": "2015-06-24T15:40:45.000Z", "updated": "2015-06-24T15:40:45.000Z", "title": "Néron-Severi group of a general hypersurface", "authors": [ "Vincenzo Di Gennaro", "Davide Franco" ], "comment": "13 pages", "categories": [ "math.AG" ], "abstract": "In this paper we extend the well known theorem of Angelo Lopez concerning the Picard group of the general space projective surface containing a given smooth projective curve, to the intermediate N\\'eron-Severi group of a general hypersurface in any smooth projective variety.", "revisions": [ { "version": "v1", "updated": "2015-06-24T15:40:45.000Z" } ], "analyses": { "subjects": [ "14B05", "14C20", "14C21", "14C22", "14C25", "14C30", "14F43", "14F45", "14J70" ], "keywords": [ "general hypersurface", "néron-severi group", "intermediate neron-severi group", "picard group", "smooth projective variety" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150607426D" } } }