{ "id": "0903.0514", "version": "v1", "published": "2009-03-03T12:25:20.000Z", "updated": "2009-03-03T12:25:20.000Z", "title": "A Minkowski-style bound for the order of the finite subgroups of the Cremona group of rank 2 over an arbitrary field", "authors": [ "Jean-Pierre Serre" ], "comment": "18 pages, submitted to Moscow Math.J", "categories": [ "math.AG" ], "abstract": "Let Cr(k) be the Cremona group of rank 2 over a field k, i.e. the group of all k-automorphisms of k(X,Y). We determine the l.c.m. of the orders of the finite subgroups of Cr(k) of order prime to the characteristic of k.", "revisions": [ { "version": "v1", "updated": "2009-03-03T12:25:20.000Z" } ], "analyses": { "subjects": [ "14E07" ], "keywords": [ "finite subgroups", "cremona group", "minkowski-style bound", "arbitrary field" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.0514S" } } }