{
  "id": "1811.01676",
  "version": "v1",
  "published": "2018-11-05T13:40:46.000Z",
  "updated": "2018-11-05T13:40:46.000Z",
  "title": "Rationality problem for norm one tori",
  "authors": [
    "Akinari Hoshi",
    "Aiichi Yamasaki"
  ],
  "comment": "11 pages. arXiv admin note: substantial text overlap with arXiv:1210.4525",
  "categories": [
    "math.AG",
    "math.NT",
    "math.RA"
  ],
  "abstract": "We give a stably and retract rational classification of norm one tori of dimension $p-1$ where $p$ is a prime number and of dimension up to ten with some minor exceptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-05T13:40:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E72",
      "12F20",
      "13A50",
      "14E08",
      "20C10",
      "20G15"
    ],
    "keywords": [
      "rationality problem",
      "retract rational classification",
      "prime number",
      "minor exceptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}