{
  "id": "1307.3623",
  "version": "v2",
  "published": "2013-07-13T07:44:26.000Z",
  "updated": "2013-07-16T01:41:13.000Z",
  "title": "The Yau-Tian-Donaldson Conjecture for general polarizations",
  "authors": [
    "Toshiki Mabuchi"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, assuming that a polarized algebraic manifold $(X,L)$ is strongly K-stable, we shall show that the polarization class $c_1(L)$ admits a constant scalar curvature Kaehler metric.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-16T01:41:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q26",
      "14L24",
      "53C25"
    ],
    "keywords": [
      "yau-tian-donaldson conjecture",
      "general polarizations",
      "constant scalar curvature kaehler metric",
      "polarized algebraic manifold",
      "polarization class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.3623M"
    }
  }
}