{
  "id": "2006.13068",
  "version": "v1",
  "published": "2020-06-23T14:44:43.000Z",
  "updated": "2020-06-23T14:44:43.000Z",
  "title": "Diameter bounds for degenerating Calabi-Yau metrics",
  "authors": [
    "Yang Li",
    "Valentino Tosatti"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG",
    "math.AG",
    "math.MG"
  ],
  "abstract": "We obtain sharp upper and lower bounds for the diameter of Ricci-flat Kahler metrics on polarized Calabi-Yau degeneration families, as conjectured by Kontsevich-Soibelman.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-23T14:44:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q25",
      "53C25",
      "14J32",
      "53C23"
    ],
    "keywords": [
      "degenerating calabi-yau metrics",
      "diameter bounds",
      "ricci-flat kahler metrics",
      "polarized calabi-yau degeneration families",
      "sharp upper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}