{ "id": "1311.5755", "version": "v2", "published": "2013-11-22T14:04:16.000Z", "updated": "2015-10-19T11:44:28.000Z", "title": "Varieties with too many rational points", "authors": [ "T. D. Browning", "D. Loughran" ], "comment": "23 pages", "categories": [ "math.NT", "math.AG" ], "abstract": "We investigate Fano varieties defined over a number field that contain subvarieties whose number of rational points of bounded height is comparable to the total number on the variety.", "revisions": [ { "version": "v1", "updated": "2013-11-22T14:04:16.000Z", "abstract": "We investigate Fano varieties defined over a number field, which contain subvarieties whose number of rational points of bounded height is comparable to the total number on the variety.", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-10-19T11:44:28.000Z" } ], "analyses": { "subjects": [ "11D45", "11G35", "14G05", "14J45" ], "keywords": [ "rational points", "contain subvarieties", "number field", "total number" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.5755B" } } }