{
  "id": "math/9908167",
  "version": "v2",
  "published": "1999-08-30T15:33:18.000Z",
  "updated": "2000-03-12T17:21:02.000Z",
  "title": "Compactifying the space of stable maps",
  "authors": [
    "Dan Abramovich",
    "Angelo Vistoli"
  ],
  "comment": "34 pages; Latex 2e. The following devices were used to reduce the authors' publication count: 1. new section on canonical contractions and functoriality added, and 2. introduction expanded based on our research announcement math.AG/9811059",
  "categories": [
    "math.AG"
  ],
  "abstract": "We define two equivalent notions of twisted stable map from a curve to a Deligne-Mumford stack with projective moduli space, and we prove that twisted stable maps of fixed degree form a complete Deligne-Mumford stack with projective moduli space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-03-12T17:21:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14H30",
      "14D22"
    ],
    "keywords": [
      "projective moduli space",
      "twisted stable map",
      "complete deligne-mumford stack",
      "compactifying",
      "equivalent notions"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......8167A"
    }
  }
}