{ "id": "2004.04224", "version": "v1", "published": "2020-04-08T19:52:05.000Z", "updated": "2020-04-08T19:52:05.000Z", "title": "An effective version of Belyi's theorem in positive characteristic", "authors": [ "Yasuhiro Wakabayashi" ], "comment": "16 pages", "categories": [ "math.AG" ], "abstract": "The purpose of the present paper is to give an effective version of the noncritical $p$-tame Belyi theorem. That is to say, we compute explicitly an upper bound of the minimal degree of tamely ramified Belyi maps in positive characteristic which are unramified at a prescribed finite set of points.", "revisions": [ { "version": "v1", "updated": "2020-04-08T19:52:05.000Z" } ], "analyses": { "keywords": [ "positive characteristic", "effective version", "belyis theorem", "tame belyi theorem", "upper bound" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }