{
  "id": "1303.3172",
  "version": "v4",
  "published": "2013-03-13T14:39:30.000Z",
  "updated": "2014-09-10T15:28:43.000Z",
  "title": "Relations between the Chow motive and the noncommutative motive of a smooth projective variety",
  "authors": [
    "Marcello Bernardara",
    "Goncalo Tabuada"
  ],
  "comment": "Revised version",
  "categories": [
    "math.AG",
    "math.AT",
    "math.KT"
  ],
  "abstract": "In this note we relate the notions of Lefschetz type, decomposability, and isomorphism, on Chow motives with the notions of unit type, decomposability, and isomorphism, on noncommutative motives. Examples, counter-examples, and applications are also described.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-24T18:23:08.000Z",
      "abstract": "In this note we relate the notions of Lefschetz type, decomposability, and isomorphism, on Chow motives with the notions of unit type, decomposability, and isomorphism, on noncommutative motives. Some examples, counter-examples, and applications are also described.",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-09-10T15:28:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E04",
      "13D09",
      "14A22",
      "14C15",
      "19C30",
      "14K05"
    ],
    "keywords": [
      "smooth projective variety",
      "chow motive",
      "noncommutative motive",
      "lefschetz type",
      "decomposability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.3172B"
    }
  }
}