{
  "id": "0901.3539",
  "version": "v1",
  "published": "2009-01-22T19:17:26.000Z",
  "updated": "2009-01-22T19:17:26.000Z",
  "title": "1-rational singularities and quotients by reductive groups",
  "authors": [
    "Daniel Greb"
  ],
  "comment": "8 pages; revised version of a chapter of the author's thesis",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We prove that good quotients of algebraic varieties with 1-rational singularities also have 1-rational singularities. This refines a result of Boutot on rational singularities of good quotients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-22T19:17:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14L24",
      "14B05"
    ],
    "keywords": [
      "reductive groups",
      "rational singularities",
      "algebraic varieties"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.3539G"
    }
  }
}