{
  "id": "0807.2265",
  "version": "v1",
  "published": "2008-07-14T21:43:40.000Z",
  "updated": "2008-07-14T21:43:40.000Z",
  "title": "Smooth motives",
  "authors": [
    "Marc Levine"
  ],
  "comment": "65 pages",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "Following ideas of Bondarko, we construct a DG category whose homotopy category is equivalent to the full subcategory of motives over a base-scheme $S$ generated by the motives of smooth projective $S$-schemes, assuming that $S$ is itself smooth over a perfect field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-14T21:43:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "19E15",
      "19E08",
      "14F42",
      "55P42"
    ],
    "keywords": [
      "smooth motives",
      "perfect field",
      "full subcategory",
      "homotopy category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 65,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2265L"
    }
  }
}