{ "id": "0712.3704", "version": "v2", "published": "2007-12-21T14:36:36.000Z", "updated": "2008-01-07T19:00:51.000Z", "title": "On a Hasse principle for Mordell-Weil groups", "authors": [ "Grzegorz Banaszak" ], "comment": "First draft written on October 29, 2007. Submitted for publication", "categories": [ "math.NT", "math.AG" ], "abstract": "In this paper we establish a Hasse principle concerning the linear dependence over $\\Z$ of nontorsion points in the Mordell-Weil group of an abelian variety over a number field.", "revisions": [ { "version": "v2", "updated": "2008-01-07T19:00:51.000Z" } ], "analyses": { "subjects": [ "11G10", "14K15" ], "keywords": [ "mordell-weil group", "nontorsion points", "linear dependence", "number field" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.3704B" } } }