{
  "id": "0812.4093",
  "version": "v2",
  "published": "2008-12-22T04:51:59.000Z",
  "updated": "2008-12-30T14:33:57.000Z",
  "title": "K-stability of constant scalar curvature polarization",
  "authors": [
    "Toshiki Mabuchi"
  ],
  "comment": "Introduction of the version 1 is revised",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "In this paper, we shall show that a polarized algebraic manifold is K-stable if the polarization class admits a Kaehler metric of constant scalar curvature. This generalizes the results of Chen-Tian, Donaldson and Stoppa. (Parts of the arguments are based on a forthcoming paper \"A stronger concept of K-stability.\" )",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-12-30T14:33:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "14L24"
    ],
    "keywords": [
      "constant scalar curvature polarization",
      "k-stability",
      "polarization class admits",
      "kaehler metric",
      "polarized algebraic manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.4093M"
    }
  }
}