{
  "id": "1504.06467",
  "version": "v1",
  "published": "2015-04-24T11:00:14.000Z",
  "updated": "2015-04-24T11:00:14.000Z",
  "title": "A Luna étale slice theorem for algebraic stacks",
  "authors": [
    "Jarod Alper",
    "Jack Hall",
    "David Rydh"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that every algebraic stack, locally of finite type over an algebraically closed field with affine stabilizers, is \\'etale-locally a quotient stack in a neighborhood of a point with a linearly reductive stabilizer group. The proof uses an equivariant version of Artin's algebraization theorem proved in the appendix. We provide numerous applications of the main theorems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-24T11:00:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D23",
      "14B12",
      "14L24",
      "14L30"
    ],
    "keywords": [
      "algebraic stack",
      "slice theorem",
      "artins algebraization theorem",
      "finite type",
      "main theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150406467A"
    }
  }
}