{
  "id": "math/9905069",
  "version": "v1",
  "published": "1999-05-12T06:33:17.000Z",
  "updated": "1999-05-12T06:33:17.000Z",
  "title": "A remark on periodic points on varieties over a field of finite type over Q",
  "authors": [
    "Shu Kawaguchi"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Let M be a field of finite type over {\\bf Q} and X a variety defined over M. We study when the set {P \\in X(K) \\mid f^{\\circ n} (P) = P for some n \\geq 1} is finite for any finite extension fields K of M and for any dominant K-morphisms f : X \\to X with deg f \\geq 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-05-12T06:33:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G05",
      "11G99"
    ],
    "keywords": [
      "finite type",
      "periodic points",
      "finite extension fields",
      "dominant k-morphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......5069K"
    }
  }
}