{
  "id": "1805.05024",
  "version": "v1",
  "published": "2018-05-14T06:47:51.000Z",
  "updated": "2018-05-14T06:47:51.000Z",
  "title": "Flexibility of normal affine horospherical varieties",
  "authors": [
    "Sergey Gaifullin",
    "Anton Shafarevich"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We investigate flexibility of affine varieties with an action of a linear algebraic group. Flexibility of a smooth affine variety with only constant invertible functions and a locally transitive action of a reductive group is proved. Also we show that a normal affine complexity-zero horospherical variety is flexible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-14T06:47:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13N15",
      "14J50",
      "14R20",
      "13A50"
    ],
    "keywords": [
      "normal affine horospherical varieties",
      "flexibility",
      "normal affine complexity-zero horospherical variety",
      "smooth affine variety",
      "linear algebraic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}