{
  "id": "2012.12046",
  "version": "v1",
  "published": "2020-12-22T14:30:46.000Z",
  "updated": "2020-12-22T14:30:46.000Z",
  "title": "Rationality problem of quasi-monomial actions and Severi-Brauer varieties",
  "authors": [
    "Akinari Hoshi",
    "Ming-chang Kang",
    "Hidetaka Kitayama"
  ],
  "comment": "34 pages. arXiv admin note: text overlap with arXiv:1801.06616",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "The rationality problem of two-dimensional purely quasi-monomial actions was solved completely in [HKK]. As a generalization, we solve the rationality problem of two-dimensional quasi-monomial actions under some natural condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-22T14:30:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12F20",
      "13A50",
      "14E08"
    ],
    "keywords": [
      "rationality problem",
      "severi-brauer varieties",
      "two-dimensional purely quasi-monomial actions",
      "two-dimensional quasi-monomial actions",
      "natural condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}