{
  "id": "1008.2711",
  "version": "v1",
  "published": "2010-08-16T17:04:15.000Z",
  "updated": "2010-08-16T17:04:15.000Z",
  "title": "Weak approximation and rationally connected varieties over function fields of curves",
  "authors": [
    "Brendan Hassett"
  ],
  "comment": "49 pages; based on lectures given in Strasbourg in May 2008 at the Session Etats de la Recherche \"Vari'et'es rationnellement connexes : aspects g'eom'etriques et arithm'etiques\"",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is a survey of weak approximation over complex function fields, touching on the Koll'ar-Miyaoka-Mori theorem, places of good and bad reduction, the special case of rational surfaces, rationally simply connected varieties, and applications to low-degree complete intersections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-16T17:04:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M22",
      "14G05"
    ],
    "keywords": [
      "weak approximation",
      "rationally connected varieties",
      "complex function fields",
      "low-degree complete intersections",
      "special case"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2711H"
    }
  }
}