{
  "id": "0809.0489",
  "version": "v1",
  "published": "2008-09-02T18:00:31.000Z",
  "updated": "2008-09-02T18:00:31.000Z",
  "title": "On Q-conic bundles, III",
  "authors": [
    "Shigefumi Mori",
    "Yuri Prokhorov"
  ],
  "comment": "21 pages, latex",
  "journal": "Publ. Res. Inst. Math. Sci., 2009, 45, 787-810",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "A Q-conic bundle germ is a proper morphism from a threefold with only terminal singularities to the germ $(Z \\ni o)$ of a normal surface such that fibers are connected and the anti-canonical divisor is relatively ample. Building upon our previous paper [math/0603736], we prove the existence of a Du Val anti-canonical member under the assumption that the central fiber is irreducible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-02T18:00:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J30",
      "14E35",
      "14E30"
    ],
    "keywords": [
      "q-conic bundle germ",
      "central fiber",
      "proper morphism",
      "val anti-canonical member",
      "normal surface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.0489M"
    }
  }
}