{
  "id": "math/0505364",
  "version": "v1",
  "published": "2005-05-17T21:07:47.000Z",
  "updated": "2005-05-17T21:07:47.000Z",
  "title": "Fields of Definition of Rational Points on Varieties",
  "authors": [
    "Jordan Rizov"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let $X$ be a scheme over a field $K$ and let $M_X$ be the intersection of all subfields $L$ of $\\bar K$ such that $X$ has a $L$-valued point. In this note we prove that for a variety $X$ over a field $K$ finitely generated over its prime field one has that $M_X = K$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-17T21:07:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G05",
      "11G25",
      "11G35"
    ],
    "keywords": [
      "rational points",
      "definition",
      "prime field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5364R"
    }
  }
}