{
  "id": "1703.03049",
  "version": "v1",
  "published": "2017-03-08T21:56:21.000Z",
  "updated": "2017-03-08T21:56:21.000Z",
  "title": "Toward an enumerative geometry with quadratic forms",
  "authors": [
    "Marc Levine"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We develop various aspects of classical enumerative geometry, including Euler characteristics and formulas for counting degenerate fibres in a pencil, with the classical numerical formulas being replaced by identitites in the Grothendieck-Witt group of quadratic forms with coefficients in the base-field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-08T21:56:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic forms",
      "grothendieck-witt group",
      "counting degenerate fibres",
      "euler characteristics",
      "classical numerical formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}