{
  "id": "2004.00042",
  "version": "v1",
  "published": "2020-03-31T18:13:29.000Z",
  "updated": "2020-03-31T18:13:29.000Z",
  "title": "The Kähler-Ricci flow, holomorphic vector fields and Fano bundles",
  "authors": [
    "Xi Sisi Shen"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study the behavior of the K\\\"ahler-Ricci flow on compact manifolds developing finite-time singularities, in particular, when the flow contracts exceptional divisors or collapses the Fano fibers of a holomorphic fiber bundle. We present a technique using holomorphic vector fields to prove estimates related to the work of Song-Weinkove and Fu-Zhang.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-31T18:13:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holomorphic vector fields",
      "kähler-ricci flow",
      "fano bundles",
      "compact manifolds developing finite-time singularities",
      "flow contracts exceptional divisors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}