{ "id": "1411.2790", "version": "v1", "published": "2014-11-11T13:01:49.000Z", "updated": "2014-11-11T13:01:49.000Z", "title": "Rationality problem for quasi-monomial actions", "authors": [ "Akinari Hoshi" ], "comment": "Survey article. RIMS Kokyuroku Bessatsu B51 (2014), 203-227. arXiv admin note: text overlap with arXiv:1210.4525", "journal": "RIMS Kokyuroku Bessatsu B51 (2014), 203-227", "categories": [ "math.AG", "math.NT" ], "abstract": "We give a short survey of the rationality problem for quasi-monomial actions which includes Noether's problem and the rationality problem for algebraic tori, and report some results on rationality problem in three recent papers Hoshi, Kang and Kitayama [HKKi], Hoshi, Kang and Kunyavskii [HKKu] and Hoshi and Yamasaki [HY].", "revisions": [ { "version": "v1", "updated": "2014-11-11T13:01:49.000Z" } ], "analyses": { "subjects": [ "11E72", "12F12", "12F20", "13A50", "14E08", "14M20", "20C10", "20G15", "20J06" ], "keywords": [ "rationality problem", "quasi-monomial actions", "algebraic tori", "short survey", "papers hoshi" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.2790H" } } }