{
  "id": "math/0610093",
  "version": "v4",
  "published": "2006-10-03T00:24:57.000Z",
  "updated": "2006-12-20T21:39:36.000Z",
  "title": "Fundamental Group in nonzero characteristic",
  "authors": [
    "Manish Kumar"
  ],
  "comment": "The main theorem (Theorem 4.1) now asserts the result for only countable fields. Proofs of patching results have been simplified",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "A proof of freeness of the commutator subgroup of the fundamental group of a smooth irreducible affine curve over a countable algebraically closed field of nonzero characteristic. A description of the abelianizations of the fundamental groups of smooth affine curves over an algebracially closed field of nonzero characteristic is also given.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-12-20T21:39:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12E30",
      "14H30"
    ],
    "keywords": [
      "fundamental group",
      "nonzero characteristic",
      "smooth affine curves",
      "smooth irreducible affine curve",
      "commutator subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10093K"
    }
  }
}