{
  "id": "1007.4220",
  "version": "v1",
  "published": "2010-07-23T21:22:50.000Z",
  "updated": "2010-07-23T21:22:50.000Z",
  "title": "Stability, birational transformations and the Kahler-Einstein problem",
  "authors": [
    "Simon Donaldson"
  ],
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "We define a new notion of \"b-stability\" for a polarised algebraic variety, adapted to the existence problem for Kahler-Einstein metrics on Fano manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-23T21:22:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55"
    ],
    "keywords": [
      "birational transformations",
      "kahler-einstein problem",
      "fano manifolds",
      "kahler-einstein metrics",
      "existence problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.4220D"
    }
  }
}