{
  "id": "math/0503346",
  "version": "v1",
  "published": "2005-03-17T03:58:12.000Z",
  "updated": "2005-03-17T03:58:12.000Z",
  "title": "Non-genericity of variations of Hodge structure for hypersurfaces of high degree",
  "authors": [
    "Emmanuel Allaud"
  ],
  "comment": "Accepted for publication by the Duke Mathematical Journal",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we are interested in proving that the infinitesimal variations of Hodge structure of hypersurfaces of high enough degree lie in a proper subvariety of the variety of all infinitesimal variations. This is proved using a space of symmetrizers as defined by Donagi, to identify a geometric structure carried by the variety of all infinitesimal variations of Hodge structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-17T03:58:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D07"
    ],
    "keywords": [
      "hodge structure",
      "high degree",
      "infinitesimal variations",
      "hypersurfaces",
      "non-genericity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3346A"
    }
  }
}