{
  "id": "math/0602567",
  "version": "v1",
  "published": "2006-02-25T02:40:19.000Z",
  "updated": "2006-02-25T02:40:19.000Z",
  "title": "On the geography of Gorenstein minimal 3-folds of general type",
  "authors": [
    "Meng Chen",
    "Christopher D. Hacon"
  ],
  "comment": "To appear in Asian J. Math",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be a minimal projective Gorenstein 3-fold of general type. We give two applications of an inequality between $\\chi (\\omega_X)$ and $p_g(X)$: 1) Assume that the canonical map $\\Phi_{|K_X|}$ is of fiber type. Let $F$ be a smooth model of a generic irreducible component in the general fiber of $\\Phi_{|K_X|}$. Then the birational invariants of $F$ are bounded from above. 2) If $X$ is nonsingular, then $c_1^3\\leq {1/27} c_1c_2+{10/3}$ where $c_1$, $c_2$ are Chern invariants of $X$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-25T02:40:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14E35"
    ],
    "keywords": [
      "general type",
      "gorenstein minimal",
      "minimal projective gorenstein",
      "birational invariants",
      "general fiber"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2567C"
    }
  }
}