{
  "id": "math/0004078",
  "version": "v2",
  "published": "2000-04-12T14:18:15.000Z",
  "updated": "2000-12-06T17:12:03.000Z",
  "title": "Remarks about uniform boundedness of rational points over function fields",
  "authors": [
    "Lucia Caporaso"
  ],
  "comment": "Major changes and additions. Error in section 2 and its consequences eliminated",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove a few uniform versions of the Mordell-Lang Conjecture and of the Shafarevich Conjecture for curves over function fields and their rational points. The main focus is on function fields having high transcendence degree over the complex numbers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-12-06T17:12:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "function fields",
      "rational points",
      "uniform boundedness",
      "high transcendence degree",
      "complex numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......4078C"
    }
  }
}