{
  "id": "math/0312362",
  "version": "v2",
  "published": "2003-12-18T14:51:35.000Z",
  "updated": "2004-08-06T15:28:58.000Z",
  "title": "The Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves",
  "authors": [
    "Alexander Schmitt"
  ],
  "comment": "To appear in J. Differential Geom. V2: Correction of typos and minor modifications",
  "journal": "J. Differential Geometry 66 (2004), no. 2, 169-209",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct the Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves. The Hilbert compactification is the GIT quotient of some open part of an appropriate Hilbert scheme of curves in a Grassmannian. It has all the properties asked for by Teixidor.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-08-06T15:28:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "14D20",
      "14F05"
    ],
    "keywords": [
      "universal moduli space",
      "semistable vector bundles",
      "hilbert compactification",
      "smooth curves",
      "appropriate hilbert scheme"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12362S"
    }
  }
}