{
  "id": "math/0210048",
  "version": "v3",
  "published": "2002-10-03T13:41:42.000Z",
  "updated": "2005-04-27T10:41:33.000Z",
  "title": "Families of D-minimal models and applications to 3-fold divisorial contractions",
  "authors": [
    "Nikolaos Tziolas"
  ],
  "comment": "Revised version. A gap in the proofs of Lemma 2.3 and Theorem 2.4 is corrected. 26 pages",
  "journal": "Proc. London Math. Soc. (3) 90 (2005), 345-370",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X/T be a one parameter family of canonical 3-folds and let D be a Weil divisor on it flat over T. We study the problem of when the D_t-minimal models of X_t form a family and we obtain conditions for this to happen. As an application of this we classify terminal divisorial contractions Y-->X that contract an irreducible divisor E onto a smooth curve C in the case when the general hyperplane section S of X through C is a D5 DuVal singularity.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-04-27T10:41:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30",
      "14E35"
    ],
    "keywords": [
      "d-minimal models",
      "application",
      "classify terminal divisorial contractions",
      "d5 duval singularity",
      "general hyperplane section"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10048T"
    }
  }
}