{
  "id": "0904.2850",
  "version": "v1",
  "published": "2009-04-18T13:01:48.000Z",
  "updated": "2009-04-18T13:01:48.000Z",
  "title": "Hyperbolicity of orthogonal involutions",
  "authors": [
    "Nikita A. Karpenko"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that a non-hyperbolic orthogonal involution on a central simple algebra over a field of characteristic different from 2 remains non-hyperbolic over some splitting field of the algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-18T13:01:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L17",
      "14C25"
    ],
    "keywords": [
      "hyperbolicity",
      "non-hyperbolic orthogonal involution",
      "central simple algebra",
      "remains non-hyperbolic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.2850K"
    }
  }
}