{
  "id": "math/0207210",
  "version": "v1",
  "published": "2002-07-23T14:49:55.000Z",
  "updated": "2002-07-23T14:49:55.000Z",
  "title": "The resolution property for schemes and stacks",
  "authors": [
    "Burt Totaro"
  ],
  "comment": "23 pages. To appear in J. Reine Angew. Math",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove the equivalence of two fundamental properties of algebraic stacks: being a quotient stack in a strong sense, and the resolution property, which says that every coherent sheaf is a quotient of some vector bundle. Moreover, we prove these properties in the important special case of orbifolds whose associated algebraic space is a scheme.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-23T14:49:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A20",
      "14L30"
    ],
    "keywords": [
      "resolution property",
      "important special case",
      "vector bundle",
      "algebraic stacks",
      "quotient stack"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......7210T"
    }
  }
}