{
  "id": "1510.06803",
  "version": "v1",
  "published": "2015-10-23T01:50:01.000Z",
  "updated": "2015-10-23T01:50:01.000Z",
  "title": "Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2",
  "authors": [
    "Igor Dolgachev",
    "Alexander Duncan"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We describe a normal form for a smooth intersection of two quadrics in even-dimensional projective space over an arbitrary field of characteristic 2. We use this to obtain a description of the automorphism group of such a variety. As an application, we show that every quartic del Pezzo surface over a perfect field of characteristic 2 has a canonical rational point and, thus, is unirational.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-23T01:50:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E04",
      "14G17",
      "14C21"
    ],
    "keywords": [
      "quadratic forms",
      "odd-dimensional spaces",
      "regular pairs",
      "characteristic",
      "quartic del pezzo surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151006803D"
    }
  }
}