{
  "id": "math/0610828",
  "version": "v3",
  "published": "2006-10-27T06:49:44.000Z",
  "updated": "2007-06-12T09:18:32.000Z",
  "title": "A few localisation theorems",
  "authors": [
    "Bruno Kahn",
    "R. Sujatha"
  ],
  "comment": "File mistake in Version 2 To appear in Homology, Homotopy and Applications",
  "journal": "Homology, Homotopy and Applications(HHA) 9, 2 (2007) 137-161",
  "categories": [
    "math.AG",
    "math.CT"
  ],
  "abstract": "Given a functor $T:C \\to D$ carrying a class of morphisms $S\\subset C$ into a class $S'\\subset D$, we give sufficient conditions in order that $T$ induces an equivalence on the localised categories. These conditions are in the spirit of Quillen's theorem A. We give some applications in algebaic and birational geometry.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-06-12T09:18:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "localisation theorems",
      "sufficient conditions",
      "quillens theorem",
      "birational geometry",
      "equivalence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10828K"
    }
  }
}