{
  "id": "2404.07803",
  "version": "v1",
  "published": "2024-04-11T14:48:28.000Z",
  "updated": "2024-04-11T14:48:28.000Z",
  "title": "K-stability and space sextic curves of genus three",
  "authors": [
    "Ivan Cheltsov",
    "Oliver Li",
    "Sione Ma'u",
    "Antoine Pinardin"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth curve of degree six and genus three. We produce many new K-stable examples of such threefolds, and we describe all finite groups that can act faithfully on them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-11T14:48:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14J30",
      "32Q20"
    ],
    "keywords": [
      "space sextic curves",
      "k-stability",
      "study fano threefolds",
      "three-dimensional projective space",
      "smooth curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}