{
  "id": "math/0611710",
  "version": "v1",
  "published": "2006-11-22T21:31:54.000Z",
  "updated": "2006-11-22T21:31:54.000Z",
  "title": "Moduli stacks of permutation classes of pointed stable curves",
  "authors": [
    "Joerg Zintl"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The notion of $m/\\Gamma$-pointed stable curves is introduced. It should be viewed as a generalization of the notion of m-pointed stable curves of a given genus, where the labels of the marked points are only determined up to the action of a group of permutations $\\Gamma$. The classical moduli spaces and moduli stacks are generalized to this wider setting. Finally, an explicit construction of the new moduli stack of $m/\\Gamma$-pointed stable curves as a quotient stack is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-22T21:31:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14A20",
      "14D22"
    ],
    "keywords": [
      "pointed stable curves",
      "moduli stack",
      "permutation classes",
      "explicit construction",
      "quotient stack"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11710Z"
    }
  }
}