{
  "id": "0706.2257",
  "version": "v2",
  "published": "2007-06-15T10:00:56.000Z",
  "updated": "2007-10-04T09:09:11.000Z",
  "title": "Algebraic K-theory and cubical descent",
  "authors": [
    "Pere Pascual Gainza",
    "Llorenc Rubio i Pons"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note we apply Guillen-Navarro descent theorem, \\cite{GN02}, to define a descent variant of the algebraic $K$-theory of varieties over a field of characteristic zero, $\\mathcal{KD}(X)$, which coincides with $\\mathcal{K}(X)$ for smooth varieties. After a result of Haesemeyer, this new theory is equivalent to the homotopy algebraic $K$-theory introduced by Weibel. We also prove that there is a natural weight filtration on the groups $KH_\\ast(X)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-04T09:09:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic k-theory",
      "cubical descent",
      "apply guillen-navarro descent theorem",
      "natural weight filtration",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.2257G"
    }
  }
}