{
  "id": "0903.4472",
  "version": "v3",
  "published": "2009-03-25T21:15:33.000Z",
  "updated": "2011-05-20T12:21:46.000Z",
  "title": "The fundamental group of affine curves in positive characteristic",
  "authors": [
    "Manish Kumar"
  ],
  "comment": "22 pages. Some errors corrected and gaps fixed. Some more consequences added. Comments are very much welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "It is shown that the commutator subgroup of the fundamental group of a smooth affine curve over an uncountable algebraically closed field $k$ of positive characteristic is a profinite free group of rank equal to the cardinality of $k$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-05-20T12:21:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H30"
    ],
    "keywords": [
      "fundamental group",
      "positive characteristic",
      "smooth affine curve",
      "profinite free group",
      "commutator subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4472K"
    }
  }
}