{
  "id": "2012.09934",
  "version": "v1",
  "published": "2020-12-17T21:01:57.000Z",
  "updated": "2020-12-17T21:01:57.000Z",
  "title": "Convergence of cscK metrics on smooth minimal models of general type",
  "authors": [
    "Wanxing Liu"
  ],
  "comment": "22 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider constant scalar curvature K\\\"{a}hler metrics on a smooth minimal model of general type in a neighborhood of the canonical class, which is the perturbation of the canonical class by a fixed K\\\"{a}hler metric. We show that sequences of such metrics converge smoothly on compact subsets away from a subvariety to the singular K\\\"{a}hler Einstein metric in the canonical class. This confirms partially a conjecture of Jian-Shi-Song about the convergence behavior of such sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-17T21:01:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth minimal model",
      "general type",
      "csck metrics",
      "canonical class",
      "constant scalar curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}