{
  "id": "0908.0096",
  "version": "v2",
  "published": "2009-08-01T18:54:54.000Z",
  "updated": "2009-09-04T18:53:02.000Z",
  "title": "A local-global principle for weak approximation on varieties over function fields",
  "authors": [
    "Mike Roth",
    "Jason Michael Starr"
  ],
  "comment": "20 pages, corrected author names and affiliations",
  "categories": [
    "math.AG"
  ],
  "abstract": "We present a new perspective on the weak approximation conjecture of Hassett and Tschinkel: formal sections of a rationally connected fibration over a curve can be approximated to arbitrary order by regular sections. The new approach involves the study of how ideal sheaves pullback to Cartier divisors.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-09-04T18:53:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G05",
      "14C05"
    ],
    "keywords": [
      "function fields",
      "local-global principle",
      "weak approximation conjecture",
      "ideal sheaves pullback",
      "cartier divisors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.0096R"
    }
  }
}