{
  "id": "math/0606626",
  "version": "v3",
  "published": "2006-06-25T13:51:24.000Z",
  "updated": "2007-03-14T01:53:34.000Z",
  "title": "Dynamical construction of Kähler-Einstein metrics",
  "authors": [
    "Hajime Tsuji"
  ],
  "comment": "25pages, no figure, Proof of Lemma 3.6 has been replaced by a result of Bedford and Taylor",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "In this paper, I give a new construction of a K\\\"{a}hler-Einstein metrics on a smooth projective variety with ample canonical bundle. This result can be generalized to the construction of a singular K\\\"{a}hler-Einstein metric on a smooth projective variety of general type which gives an AZD of the canonical bundle. Also the variation of Bergman kernels and K\\\"{a}hler-Einstein volume form have been considered.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-03-14T01:53:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "32G07"
    ],
    "keywords": [
      "kähler-einstein metrics",
      "dynamical construction",
      "smooth projective variety",
      "volume form",
      "bergman kernels"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6626T"
    }
  }
}