{
  "id": "math/0701475",
  "version": "v1",
  "published": "2007-01-17T10:45:51.000Z",
  "updated": "2007-01-17T10:45:51.000Z",
  "title": "On the birational geometry of moduli spaces of pointed curves",
  "authors": [
    "Edoardo Ballico",
    "Gianfranco Casnati",
    "Claudio Fontanari"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that the moduli space ${\\Cal M}_{g,n}$ of smooth curves of genus $g$ with $n$ marked points is rational for $g=6$ and $1 \\le n \\le 8$, and it is unirational for $g=8$ and $1 \\le n \\le 11$, $g=10$ and $1 \\le n \\le 3$, $g=12$ and $n = 1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-17T10:45:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14H45",
      "14E08",
      "14L30"
    ],
    "keywords": [
      "moduli space",
      "birational geometry",
      "pointed curves",
      "smooth curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1475B"
    }
  }
}