{
  "id": "math/0203174",
  "version": "v2",
  "published": "2002-03-18T14:45:02.000Z",
  "updated": "2002-11-13T21:49:44.000Z",
  "title": "Rationally connected varieties and fundamental groups",
  "authors": [
    "János Kollár"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let U be an open subset of a unirational variety (or more generally of a separably rationally connected 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. The proof improves the earlier proof (math.AG/0003138) and works in any characteristic. Much improved version, thanks to comments of Colliot-Th\\'el\\`ene.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-11-13T21:49:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J40",
      "14H30"
    ],
    "keywords": [
      "fundamental group",
      "earlier proof",
      "open subset",
      "rational curve",
      "unirational variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3174K"
    }
  }
}