{
  "id": "1210.3109",
  "version": "v1",
  "published": "2012-10-11T02:40:31.000Z",
  "updated": "2012-10-11T02:40:31.000Z",
  "title": "The Witt Ring of a Smooth Projective Curve over a Finite Field",
  "authors": [
    "Jeanne M. Funk",
    "Raymond T. Hoobler"
  ],
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "In this paper we calculate the Witt ring W(C) of a smooth geometrically connected projective curve C over a finite field of characteristic different from 2. We view W(C) as a subring of W(k(C)) where k(C) is the function field of C. We show that the triviality of the Clifford algebra of a bilinear space over C gives the main relation. The calculation is then completed using classical results for bilinear spaces over fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-11T02:40:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19G12",
      "14H99"
    ],
    "keywords": [
      "smooth projective curve",
      "finite field",
      "witt ring",
      "bilinear space",
      "clifford algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.3109F"
    }
  }
}