{
  "id": "0801.2494",
  "version": "v1",
  "published": "2008-01-16T14:50:15.000Z",
  "updated": "2008-01-16T14:50:15.000Z",
  "title": "Motives of hypersurfaces of very small degree",
  "authors": [
    "Andre Chatzistamatiou"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the Chow motive (with rational coefficients) of a hypersurface X in the projective space by using the variety F(X) of l-dimensional planes contained in X. If the degree of X is sufficiently small we show that the primitive part of the motive of X is the tensor product of a direct summand in the motive of a suitable complete intersection in F(X) and the l-th twist Q(-l) of the Lefschetz motive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-16T14:50:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small degree",
      "hypersurface",
      "rational coefficients",
      "tensor product",
      "direct summand"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.2494C"
    }
  }
}