{
  "id": "math/0601345",
  "version": "v2",
  "published": "2006-01-13T19:29:51.000Z",
  "updated": "2006-04-17T19:08:32.000Z",
  "title": "On the properness of the moduli space of stable surfaces",
  "authors": [
    "Michael A. van Opstall"
  ],
  "comment": "second version corrects errors and some typos",
  "categories": [
    "math.AG"
  ],
  "abstract": "The moduli spaces of stable surfaces serve as compactifications of the moduli spaces of canonical models of smooth surfaces in the same way the moduli spaces of stable curves compactify the moduli spaces of smooth curves. However, the natural definition of the moduli functor of stable surfaces allows in extra components parameterizing surfaces which do not smooth. This article verifies that these components are also proper.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-04-17T19:08:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J10"
    ],
    "keywords": [
      "moduli space",
      "properness",
      "extra components parameterizing surfaces",
      "article verifies",
      "stable surfaces serve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1345V"
    }
  }
}