{
  "id": "1304.2651",
  "version": "v1",
  "published": "2013-04-09T16:35:33.000Z",
  "updated": "2013-04-09T16:35:33.000Z",
  "title": "Regularity of Kähler-Ricci flow",
  "authors": [
    "Gang Tian",
    "Zhenlei Zhang"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this short note we announce a regularity theorem for K\\\"ahler-Ricci flow on a compact Fano manifold (K\\\"ahler manifold with positive first Chern class) and its application to the limiting behavior of K\\\"ahler-Ricci flow on Fano 3-manifolds. Moreover, we also present a partial $C^0$ estimate to the K\\\"ahler-Ricci flow under the regularity assumption, which extends previous works on K\\\"ahler-Einstein metrics and shrinking K\\\"ahler-Ricci solitons (cf. \\cite{Ti90}, \\cite{DoSu12}, \\cite{Ti12}, \\cite{PSS12}). The detailed proof will appear in \\cite{TiZh13}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-09T16:35:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kähler-ricci flow",
      "compact fano manifold",
      "regularity assumption",
      "short note",
      "positive first chern class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.2651T"
    }
  }
}