{ "id": "1311.1665", "version": "v1", "published": "2013-11-07T13:11:48.000Z", "updated": "2013-11-07T13:11:48.000Z", "title": "Counting rational points on del Pezzo surfaces with a conic bundle structure", "authors": [ "T. D. Browning", "M. Swarbrick Jones" ], "comment": "29 pages", "categories": [ "math.NT" ], "abstract": "For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.", "revisions": [ { "version": "v1", "updated": "2013-11-07T13:11:48.000Z" } ], "analyses": { "subjects": [ "11G50", "11G35", "14G05" ], "keywords": [ "counting rational points", "non-singular del pezzo surfaces", "suitable conic bundle structures" ], "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.1665B" } } }