{
  "id": "1606.02169",
  "version": "v1",
  "published": "2016-06-07T15:10:40.000Z",
  "updated": "2016-06-07T15:10:40.000Z",
  "title": "A short proof of the deformation property of Bridgeland stability conditions",
  "authors": [
    "Arend Bayer"
  ],
  "comment": "13 pages, 10 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "The key result in the theory of Bridgeland stability conditions is the property that they form a complex manifold. This comes from the fact that given any small deformation of the central charge, there is a unique way to correspondingly deform the stability condition. We give a short direct proof of a strong version of this deformation property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-07T15:10:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "18E30"
    ],
    "keywords": [
      "bridgeland stability conditions",
      "deformation property",
      "short proof",
      "short direct proof",
      "central charge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}