{ "id": "1004.2713", "version": "v3", "published": "2010-04-15T20:46:49.000Z", "updated": "2010-07-30T00:12:56.000Z", "title": "Explicit Descriptions of Quadratic Maps on $\\pp^1$ defined over a field $K$", "authors": [ "Michelle Manes", "Yu Yasufuku" ], "comment": "Minor revisions from v2, including correction the the final Remark. To appear in Acta Arithmetica", "categories": [ "math.NT", "math.DS" ], "abstract": "We describe an explicit parameter space for the set of all quadratic rational maps on $\\pp^1$ defined over a field $K$, up to conjugacy over $K$.", "revisions": [ { "version": "v3", "updated": "2010-07-30T00:12:56.000Z" } ], "analyses": { "subjects": [ "37P05", "37P45", "14G05" ], "keywords": [ "quadratic maps", "explicit descriptions", "explicit parameter space", "quadratic rational maps" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1004.2713M" } } }