{
  "id": "2412.05966",
  "version": "v1",
  "published": "2024-12-08T15:15:05.000Z",
  "updated": "2024-12-08T15:15:05.000Z",
  "title": "Gorenstein Fano threefolds of Picard number one with a $\\mathbb{K}^*$-action and maximal orbit quotient $\\mathbb{P}_2$",
  "authors": [
    "Marco Ghirlanda"
  ],
  "comment": "39 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We classify the non-toric, $\\mathbb{Q}$-factorial, Gorenstein, Fano threefolds of Picard number one with an effective $\\mathbb{K}^*$-action and maximal orbit quotient $\\mathbb{P}_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-08T15:15:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14M25",
      "14J45"
    ],
    "keywords": [
      "maximal orbit quotient",
      "gorenstein fano threefolds",
      "picard number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}