{
  "id": "math/0611459",
  "version": "v2",
  "published": "2006-11-15T12:06:35.000Z",
  "updated": "2009-01-01T15:57:16.000Z",
  "title": "Chow Motive of Fulton-MacPherson configuration spaces and wonderful compactifications",
  "authors": [
    "Li Li"
  ],
  "comment": "36 pages, presentation is improved, to appear in the Michigan Mathematical Journal",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the Chow groups and the Chow motives of the wonderful compactifications $Y_{\\mathcal{G}}$ of arrangements of subvarieties. We prove a natural decomposition of the Chow motive of $Y_\\mathcal{G}$, in particular of the Fulton-MacPherson configuration space $X[n]$. As a consequence, we prove a decomposition of the Chow motive of $X[n]/\\frak{S}_n$. A generating function for the Chow groups and for the Chow motive of $X[n]$ is given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-01T15:57:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14N20"
    ],
    "keywords": [
      "fulton-macpherson configuration space",
      "chow motive",
      "wonderful compactifications",
      "chow groups",
      "natural decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11459L"
    }
  }
}