{
  "id": "2306.04183",
  "version": "v1",
  "published": "2023-06-07T06:32:55.000Z",
  "updated": "2023-06-07T06:32:55.000Z",
  "title": "Downgrading of a T-variety",
  "authors": [
    "Pavankumar Dighe",
    "Vivek Mohan Mallick"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "For an affine $T$-variety $X$ with the action of a torus $T$, this paper provides a combinatorial description of $X$ with respect to the action of a subtorus $T' \\subset T$ in terms of a $T/T'$-invariant pp-divisor. We also describe the corresponding GIT fan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-07T06:32:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14L30",
      "52B20"
    ],
    "keywords": [
      "downgrading",
      "combinatorial description",
      "invariant pp-divisor",
      "corresponding git fan"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}