{
  "id": "1204.0602",
  "version": "v1",
  "published": "2012-04-03T05:56:05.000Z",
  "updated": "2012-04-03T05:56:05.000Z",
  "title": "Stability conditions and extremal contractions",
  "authors": [
    "Yukinobu Toda"
  ],
  "comment": "51 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that any extremal contraction from a smooth projective variety with dimension less than or equal to three appears as a moduli space of (semi)stable objects in the derived category of coherent sheaves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-03T05:56:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "14E30"
    ],
    "keywords": [
      "extremal contraction",
      "stability conditions",
      "smooth projective variety",
      "moduli space",
      "coherent sheaves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.0602T"
    }
  }
}