{
  "id": "1507.01860",
  "version": "v1",
  "published": "2015-06-30T06:24:23.000Z",
  "updated": "2015-06-30T06:24:23.000Z",
  "title": "Boundedness of the images of period maps and applications",
  "authors": [
    "Kefeng Liu",
    "Yang Shen"
  ],
  "comment": "This version supercedes arXiv:1412.2837 with further applications",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove a conjecture of Griffiths on simultaneous normalization of all periods which asserts that the image of the lifted period map on the universal cover lies in a bounded domain in complex Euclidean space. As an application we prove that the Teichm\\\"uller spaces of a large class of projective manifolds have complex affine structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-30T06:24:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "application",
      "boundedness",
      "universal cover lies",
      "complex euclidean space",
      "complex affine structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150701860L"
    }
  }
}