{
  "id": "1110.6338",
  "version": "v2",
  "published": "2011-10-28T14:02:37.000Z",
  "updated": "2013-01-22T21:22:20.000Z",
  "title": "Rationality of the quotient of $\\mathbb{P}^2$ by finite group of automorphisms over arbitrary field of characteristic zero",
  "authors": [
    "Andrey S. Trepalin"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $\\Bbbk$ be a field of characteristic zero and $G$ be a finite group of automorphisms of projective plane over $\\Bbbk$. Castelnuovo's criterion implies that the quotient of projective plane by $G$ is rational if the field $\\Bbbk$ is algebraically closed. In this paper we prove that $\\mathbb{P}^2_{\\Bbbk} / G$ is rational for an arbitrary field $\\Bbbk$ of characteristic zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-22T21:22:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "characteristic zero",
      "finite group",
      "arbitrary field",
      "automorphisms",
      "rationality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.6338T"
    }
  }
}