{
  "id": "1909.02452",
  "version": "v1",
  "published": "2019-09-05T14:35:59.000Z",
  "updated": "2019-09-05T14:35:59.000Z",
  "title": "The Kähler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations",
  "authors": [
    "Ryosuke Takahashi"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this short paper, we establish a lower bound for the Donaldson-Futaki invariant of optimal degenerations produced by the K\\\"ahler-Ricci flow in terms of the greatest Ricci lower bound on arbitrary Fano manifolds. We discuss also the relation to the infimum of $H$-functional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-05T14:35:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "14L24"
    ],
    "keywords": [
      "optimal degenerations",
      "donaldson-futaki invariant",
      "kähler-ricci flow",
      "quantitative bounds",
      "greatest ricci lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}