{
  "id": "2404.01180",
  "version": "v2",
  "published": "2024-04-01T15:33:07.000Z",
  "updated": "2024-09-11T08:15:23.000Z",
  "title": "On the fundamental group of a spherical variety",
  "authors": [
    "Friedrich Knop"
  ],
  "comment": "v1: 8 pages; v2: 8 pages, minor changes",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "Let $X=G/H$ be a spherical variety over an algebraically closed field of characteristic $p\\ge0$. We compute the $p'$-parts of $\\pi_0(H)$ and $\\pi_1(X)$ from the spherical system of $X$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-09-11T08:15:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M27",
      "14F35"
    ],
    "keywords": [
      "spherical variety",
      "fundamental group",
      "characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}