{
  "id": "math/0503122",
  "version": "v1",
  "published": "2005-03-07T10:25:32.000Z",
  "updated": "2005-03-07T10:25:32.000Z",
  "title": "A generalization of the Kuga-Satake construction",
  "authors": [
    "Claire Voisin"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "The Kuga-Satake construction associates to a K3 type polarized weight 2 Hodge structure H an abelian variety A such that H is a quotient Hodge structure of H^2(A). The first step is to consider the Clifford algebra of H. It turns out that it is endowed with a weight 2 Hodge structure compatible with the algebra structure. We show more generally that a weight 2 polarized Hodge structure which carries a compatible (unitary, associative) algebra structure is a quotient of the H^2 of an abelian variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-07T10:25:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K10",
      "14C30",
      "32G20"
    ],
    "keywords": [
      "generalization",
      "algebra structure",
      "abelian variety",
      "k3 type polarized weight",
      "kuga-satake construction associates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3122V"
    }
  }
}