{
  "id": "1011.6561",
  "version": "v1",
  "published": "2010-11-30T14:49:40.000Z",
  "updated": "2010-11-30T14:49:40.000Z",
  "title": "The exceptional set in Vojta's conjecture for algebraic points of bounded degree",
  "authors": [
    "Aaron Levin"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We study the dependence on various parameters of the exceptional set in Vojta's conjecture. In particular, by making use of certain elliptic surfaces, we answer in the negative the often-raised question of whether Vojta's conjecture holds when extended to all algebraic points (that is, if the conjecture holds without fixing a bound on the degree of the algebraic points).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-30T14:49:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic points",
      "exceptional set",
      "bounded degree",
      "vojtas conjecture holds",
      "elliptic surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.6561L"
    }
  }
}