{
  "id": "math/0003138",
  "version": "v1",
  "published": "2000-03-23T14:58:24.000Z",
  "updated": "2000-03-23T14:58:24.000Z",
  "title": "Fundamental groups of rationally connected varieties",
  "authors": [
    "János Kollár"
  ],
  "comment": "12 pages, LaTeX",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let U be an open subset of a unirational variety. We prove that there is rational curve C in U such that the fundamental group of C surjects onto the fundamental group of U. As a consequence we obtain new proofs of the theorems of Harbater and Colliot-Th\\'el\\`ene on Galois covers and torsors over the p-adic line. We also obtain examples of pencils of curves of genus <14 whose monodromy group is the full Teichm\\\"uller group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-03-23T14:58:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14E20",
      "14F35",
      "14H15"
    ],
    "keywords": [
      "fundamental group",
      "rationally connected varieties",
      "open subset",
      "unirational variety",
      "monodromy group"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3138K"
    }
  }
}