{
  "id": "math/0602646",
  "version": "v1",
  "published": "2006-02-28T03:22:33.000Z",
  "updated": "2006-02-28T03:22:33.000Z",
  "title": "Artin's axioms, composition and moduli spaces",
  "authors": [
    "Jason Michael Starr"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove Artin's axioms satisfy a compatibility for composition of 1-morphisms of stacks in groupoids. Consequently, some natural stacks in groupoids are algebraic, including a common generalization of Vistoli's Hilbert stack and the stack of branchvarieties of Alexeev and Knutson.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-28T03:22:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A20",
      "14C05"
    ],
    "keywords": [
      "moduli spaces",
      "composition",
      "artins axioms satisfy",
      "vistolis hilbert stack",
      "natural stacks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2646S"
    }
  }
}