{ "id": "math/0505511", "version": "v1", "published": "2005-05-24T19:01:54.000Z", "updated": "2005-05-24T19:01:54.000Z", "title": "Elliptic curves over the perfect closure of a function field", "authors": [ "Dragos Ghioca" ], "categories": [ "math.NT", "math.AG" ], "abstract": "We prove that the group of rational points of a non-isotrivial elliptic curve defined over the perfect closure of a function field in one variable over a finite field is finiteley generated.", "revisions": [ { "version": "v1", "updated": "2005-05-24T19:01:54.000Z" } ], "analyses": { "subjects": [ "11G50" ], "keywords": [ "function field", "perfect closure", "non-isotrivial elliptic curve", "rational points", "finite field" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......5511G" } } }