{
  "id": "2012.14096",
  "version": "v1",
  "published": "2020-12-28T05:00:09.000Z",
  "updated": "2020-12-28T05:00:09.000Z",
  "title": "The Miyaoka-Yau inequality on smooth minimal models",
  "authors": [
    "Wanxing Liu"
  ],
  "comment": "5 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this short note, we offer an observation that the Miyaoka-Yau inequality holds for any compact K\\\"{a}hler manifold with nef canonical bundle, i.e. a smooth minimal model. It follows directly from the existence of cscK metrics in a neighborhood of the canonical class which was confirmed both by the work of Dyrefelt and Song using different approaches.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-28T05:00:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth minimal model",
      "miyaoka-yau inequality holds",
      "short note",
      "nef canonical bundle",
      "csck metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}