{
  "id": "0910.0605",
  "version": "v2",
  "published": "2009-10-04T13:34:14.000Z",
  "updated": "2009-12-20T04:52:14.000Z",
  "title": "On the arithmetic fundamental groups",
  "authors": [
    "Feng-Wen An"
  ],
  "comment": "14 pages. Made changes in: convention 1.1; section 1.2; Definition 1.1; Remark 1.2",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper we will define a qc fundamental group for an arithmetic scheme by quasi-galois closed covers. Then we will give a computation for such a group and will prove that the etale fundamental group of an arithmetic scheme is a normal subgroup in our qc fundamental group, which make up the main theorem of the paper. Hence, our group gives us a prior estimate of the etale fundamental group. The quotient group reflects the topological properties of the scheme.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-20T04:52:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F35",
      "11G35"
    ],
    "keywords": [
      "arithmetic fundamental groups",
      "qc fundamental group",
      "etale fundamental group",
      "arithmetic scheme",
      "quotient group reflects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.0605A"
    }
  }
}