{
  "id": "1204.2001",
  "version": "v1",
  "published": "2012-04-09T22:19:28.000Z",
  "updated": "2012-04-09T22:19:28.000Z",
  "title": "Unboundedness of the number of rational points on curves over function fields",
  "authors": [
    "Ricardo Concei\\ccão",
    "Douglas Ulmer",
    "José Felipe Voloch"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give examples of sequences of smooth non-isotrivial curves for every genus at least two, defined over a rational function field of positive characteristic, such that the (finite) number of rational points of the curves in the sequence cannot be uniformly bounded.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-09T22:19:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G30",
      "14G05"
    ],
    "keywords": [
      "rational points",
      "unboundedness",
      "smooth non-isotrivial curves",
      "rational function field",
      "positive characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.2001C"
    }
  }
}