{
  "id": "1402.2346",
  "version": "v1",
  "published": "2014-02-11T01:28:42.000Z",
  "updated": "2014-02-11T01:28:42.000Z",
  "title": "Integral points of bounded degree on affine curves",
  "authors": [
    "Aaron Levin"
  ],
  "categories": [
    "math.NT",
    "math.CV"
  ],
  "abstract": "We generalize Siegel's theorem on integral points on affine curves to integral points of bounded degree, giving a complete characterization of affine curves with infinitely many integral points of degree d or less over some number field. Generalizing Picard's theorem, we prove an analogous result characterizing complex affine curves admitting a nonconstant holomorphic map from a degree d (or less) analytic cover of $\\mathbb{C}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-11T01:28:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral points",
      "bounded degree",
      "complex affine curves admitting",
      "result characterizing complex affine curves",
      "analogous result characterizing complex affine"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.2346L"
    }
  }
}