{ "id": "1008.1905", "version": "v1", "published": "2010-08-11T13:17:57.000Z", "updated": "2010-08-11T13:17:57.000Z", "title": "Rational points on curves", "authors": [ "Michael Stoll" ], "comment": "21 pages", "categories": [ "math.NT", "math.AG" ], "abstract": "This is an extended version of an invited lecture I gave at the Journees Arithmetiques in St. Etienne in July 2009. We discuss the state of the art regarding the problem of finding the set of rational points on a (smooth projective) geometrically integral curve C over Q. The focus is on practical aspects of this problem in the case that the genus of C is at least 2, and therefore the set of rational points is finite.", "revisions": [ { "version": "v1", "updated": "2010-08-11T13:17:57.000Z" } ], "analyses": { "subjects": [ "11D41", "11G30", "14G05", "14G25" ], "keywords": [ "rational points", "journees arithmetiques", "geometrically integral curve", "extended version", "invited lecture" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1008.1905S" } } }