{
  "id": "math/0311358",
  "version": "v2",
  "published": "2003-11-20T19:28:43.000Z",
  "updated": "2006-01-24T18:47:18.000Z",
  "title": "Effective cones of quotients of moduli spaces of stable n-pointed curves of genus zero",
  "authors": [
    "William F. Rulla"
  ],
  "comment": "Cleaned up version to appear in Trans. Amer. Math. Soc., corrections throughout. 19 pages, 8 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X_n := \\bar M_{0,n}, the moduli space of n-pointed stable genus zero curves, and let X_{n,m} be the quotient of X_n by the action of the symmetric group S_{n-m} on the last n-m marked points. The cones of effective divisors of X_{n,m}, m = 0,1,2, are calculated. Using this, upper bounds for the cones Mov(X_{n,m}) generated by divisors with moving linear systems are calculated, m = 0,1, along with the induced bounds on the cones of ample divisors of \\bar M_g and \\bar M_{g,1}. As an application, the cone of effective divisors of \\bar M_{2,1} is analyzed in detail.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-01-24T18:47:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E05",
      "14H10",
      "14E30"
    ],
    "keywords": [
      "moduli space",
      "stable n-pointed curves",
      "effective cones",
      "n-pointed stable genus zero curves",
      "effective divisors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11358R"
    }
  }
}