{
  "id": "math/0509319",
  "version": "v3",
  "published": "2005-09-14T15:54:45.000Z",
  "updated": "2014-03-20T14:57:45.000Z",
  "title": "The Borel-Serre Compactification for the Classifying Space of Hodge Structures",
  "authors": [
    "John Scherk"
  ],
  "comment": "This paper has been withdrawn by the author. Errors in article",
  "categories": [
    "math.AG"
  ],
  "abstract": "A 1-parameter variation of Hodge structures corresponds to a holomorphic, horizontal, locally liftable map into a classifying space of Hodge structures. In this paper it is shown that such a map has a limit in the reductive Borel-Serre compactification of the classifying space. The boundary component in which the limit lies is a union over possible polarizations of classifying spaces of Hodge structures on the primitive parts. It is discussed which boundary components can contain such limit points.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-03-20T14:57:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D07",
      "54D35",
      "32S35"
    ],
    "keywords": [
      "classifying space",
      "boundary component",
      "hodge structures corresponds",
      "limit lies",
      "limit points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}