{ "id": "1202.2947", "version": "v2", "published": "2012-02-14T06:49:24.000Z", "updated": "2012-11-23T10:52:17.000Z", "title": "Rationality of fields of invariants for some representations of SL(2)\\timesSL(2)", "authors": [ "Shouhei Ma" ], "comment": "added Section 2.1 in which a general method is explained. to appear in Compositio Math", "doi": "10.1112/S0010437X13007069", "categories": [ "math.AG" ], "abstract": "We prove that the quotient by SL(2)\\timesSL(2) of the space of bidegree (a, b) curves on P^1\\timesP^1 is rational when ab is even and a\\not=b.", "revisions": [ { "version": "v2", "updated": "2012-11-23T10:52:17.000Z" } ], "analyses": { "subjects": [ "14L30", "14E08", "14H50" ], "keywords": [ "rationality", "invariants" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.2947M" } } }