{ "id": "0803.0973", "version": "v3", "published": "2008-03-06T20:49:45.000Z", "updated": "2010-03-29T18:10:30.000Z", "title": "The Chabauty-Coleman bound at a prime of bad reduction", "authors": [ "David Brown" ], "comment": "10 pages; this paper has been withdrawn by the author due to an error in Lemma 3.4.", "categories": [ "math.NT" ], "abstract": "We extend the refined version of the Chabauty-Coleman bound on the number of rational points on a curve of genus g>1 to the case of bad reduction.", "revisions": [ { "version": "v3", "updated": "2010-03-29T18:10:30.000Z" } ], "analyses": { "subjects": [ "11G30" ], "keywords": [ "bad reduction", "chabauty-coleman bound", "rational points", "refined version" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0803.0973B" } } }