{
  "id": "0712.4251",
  "version": "v1",
  "published": "2007-12-27T17:15:08.000Z",
  "updated": "2007-12-27T17:15:08.000Z",
  "title": "The one-dimensional stratum in the boundary of the moduli stack of stable curves",
  "authors": [
    "Joerg Zintl"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The moduli stack of Deligne-Mumford stable curves of genus g admits a stratification, so that the number of nodes of the curves belonging to one stratum is constant. The irreducible components of the stratum corresponding to curves with exactly 3g-4 nodes are one-dimensional substacks. We show how they can be related to moduli stacks of (permutation classes of) pointed stable curves. Using this, we construct all components of this stratum in a new way as quotient stacks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-27T17:15:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14H37"
    ],
    "keywords": [
      "moduli stack",
      "one-dimensional stratum",
      "permutation classes",
      "deligne-mumford stable curves",
      "one-dimensional substacks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.4251Z"
    }
  }
}