{
  "id": "2106.14650",
  "version": "v1",
  "published": "2021-06-24T10:11:03.000Z",
  "updated": "2021-06-24T10:11:03.000Z",
  "title": "The Bogomolov's inequality on a singular complex space",
  "authors": [
    "Xiaojun Wu"
  ],
  "comment": "20pages",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "In this note, we prove the Bogomolov's inequality over a reduced, compact, irreducible, K\\\"ahler complex space that is smooth in codimension 2. The proof is obtained by a reduction to the smooth case, using Hironaka's resolution of singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-24T10:11:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular complex space",
      "bogomolovs inequality",
      "smooth case",
      "hironakas resolution",
      "codimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}