{ "id": "math/0212200", "version": "v1", "published": "2002-12-16T19:51:15.000Z", "updated": "2002-12-16T19:51:15.000Z", "title": "Boundedness results for periodic points on algebraic varieties", "authors": [ "Najmuddin Fakhruddin" ], "comment": "We correct a wrong remark in the published version of this paper by showing how the results of that paper can be extended to certain birational maps", "journal": "Proc. Indian Acad. Sci. Math. Sci. 111 (2001), no. 2, 173--178", "categories": [ "math.NT", "math.AG" ], "abstract": "We prove that if f is a self-map of an algebraic variety over a field K, then under certain conditions on X, f and K the set of possible periods of K-valued periodic points of f is finite.", "revisions": [ { "version": "v1", "updated": "2002-12-16T19:51:15.000Z" } ], "analyses": { "keywords": [ "algebraic variety", "boundedness results", "k-valued periodic points", "conditions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....12200F" } } }