{
  "id": "2101.01351",
  "version": "v1",
  "published": "2021-01-05T04:57:07.000Z",
  "updated": "2021-01-05T04:57:07.000Z",
  "title": "Kähler-Einstein metrics on Pasquier's two-orbits varieties",
  "authors": [
    "Akihiro Kanemitsu"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "We show that there exist K\\\"ahler-Einstein metrics on two exceptional Pasquier's two-orbits varieties. As an application, we will provide a new example of K-unstable Fano manifold with Picard number one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-05T04:57:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14J40"
    ],
    "keywords": [
      "kähler-einstein metrics",
      "exceptional pasquiers two-orbits varieties",
      "k-unstable fano manifold",
      "picard number",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}