{
  "id": "1509.04561",
  "version": "v1",
  "published": "2015-09-15T14:02:51.000Z",
  "updated": "2015-09-15T14:02:51.000Z",
  "title": "A variational approach to the Yau-Tian-Donaldson conjecture",
  "authors": [
    "Robert Berman",
    "Sébastien Boucksom",
    "Mattias Jonsson"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "We give a new proof of a uniform version of the Yau-Tian-Donaldson conjecture for Fano manifolds with finite automorphism group, and of the semistable case of the conjecture. Our approach does not involve the continuity method or Cheeger-Colding-Tian theory. Instead, the proof is variational and uses pluripotential theory and certain non-Archimedean considerations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-15T14:02:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "14J45",
      "32P05",
      "32Q20",
      "32Q26"
    ],
    "keywords": [
      "yau-tian-donaldson conjecture",
      "variational approach",
      "finite automorphism group",
      "fano manifolds",
      "non-archimedean considerations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150904561B"
    }
  }
}