{
  "id": "2411.09488",
  "version": "v1",
  "published": "2024-11-14T14:51:08.000Z",
  "updated": "2024-11-14T14:51:08.000Z",
  "title": "Horospherical varieties with quotient singularities",
  "authors": [
    "Sean Monahan"
  ],
  "comment": "11 pages; comments welcome",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "Our main result is a combinatorial characterization of when a horospherical variety has (at worst) quotient singularities. Using this characterization, we show that every quasiprojective horospherical variety with quotient singularities is globally the quotient of a smooth variety by a finite abelian group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-14T14:51:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M27",
      "14L30",
      "14B05",
      "05E14",
      "14M25"
    ],
    "keywords": [
      "quotient singularities",
      "finite abelian group",
      "combinatorial characterization",
      "main result",
      "smooth variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}