{
  "id": "math/0508388",
  "version": "v1",
  "published": "2005-08-21T01:50:10.000Z",
  "updated": "2005-08-21T01:50:10.000Z",
  "title": "The Higher Connectivity of Intersections of Real Quadrics",
  "authors": [
    "Michael Larsen",
    "Ayelet Lindenstrauss"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "A linear system of real quadratic forms defines a real projective variety. The real non-singular locus of this variety (more precisely of the underlying scheme) has a highly connected double cover as long as each non-zero form in the system has sufficiently high Witt index.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-21T01:50:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14P25"
    ],
    "keywords": [
      "real quadrics",
      "higher connectivity",
      "intersections",
      "real quadratic forms defines",
      "sufficiently high witt index"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8388L"
    }
  }
}