{
  "id": "2304.09437",
  "version": "v1",
  "published": "2023-04-19T06:06:06.000Z",
  "updated": "2023-04-19T06:06:06.000Z",
  "title": "Local delta invariants of weak del Pezzo surfaces with the anti-canonical degree $\\geq 5$",
  "authors": [
    "Hiroto Akaike"
  ],
  "comment": "75 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The delta invariant interprets the criterion for the K-(poly)stability of log terminal Fano varieties. In this paper, we determine the whole local delta invariant for all weak del Pezzo surfaces with the anti-canonical degree $\\geq 5$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-19T06:06:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50",
      "14J17",
      "14J26"
    ],
    "keywords": [
      "weak del pezzo surfaces",
      "local delta invariant",
      "anti-canonical degree",
      "log terminal fano varieties",
      "delta invariant interprets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 75,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}