{
  "id": "1212.4714",
  "version": "v1",
  "published": "2012-12-19T15:56:55.000Z",
  "updated": "2012-12-19T15:56:55.000Z",
  "title": "Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π",
  "authors": [
    "Xiuxiong Chen",
    "Simon Donaldson",
    "Song Sun"
  ],
  "categories": [
    "math.DG",
    "math-ph",
    "math.AG",
    "math.MP"
  ],
  "abstract": "This is the second of a series of three papers which provide proofs of results announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the case when the limiting cone angle is less than 2\\pi. We show that these are in a natrual way projective algebraic varieties. In the case when the limiting variety and the limiting divisor are smooth we show that the limiting metric also has standard cone singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-19T15:56:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cone angle",
      "kahler-einstein metrics",
      "fano manifolds",
      "natrual way projective algebraic varieties",
      "standard cone singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.4714C"
    }
  }
}