{
  "id": "2212.03772",
  "version": "v1",
  "published": "2022-12-07T16:45:22.000Z",
  "updated": "2022-12-07T16:45:22.000Z",
  "title": "Automorphisms of rings of invariants",
  "authors": [
    "János Kollár"
  ],
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Let $G\\subset GL_n(k)$ be a finite subgroup and $k[x_1,\\dots, x_n]^G\\subset k[x_1,\\dots, x_n]$ its ring of invariants. We show that, in many cases, the automorphism group of $k[x_1,\\dots, x_n]^G$ is $k^\\times$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-07T16:45:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariants",
      "finite subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}