{
  "id": "2401.15735",
  "version": "v1",
  "published": "2024-01-28T19:29:28.000Z",
  "updated": "2024-01-28T19:29:28.000Z",
  "title": "Groups acting on cubic surfaces in characteristic zero",
  "authors": [
    "Jonathan M. Smith"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "For every field $k$ of characteristic zero, we determine the groups that act as automorphisms on a smooth cubic surface over $k$. We also determine the groups that act on $k$-rational, stably $k$-rational, or $k$-unirational smooth cubic surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-28T19:29:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50",
      "14J45",
      "14E08"
    ],
    "keywords": [
      "characteristic zero",
      "groups acting",
      "unirational smooth cubic surfaces",
      "automorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}