{
  "id": "1412.6194",
  "version": "v1",
  "published": "2014-12-19T01:46:36.000Z",
  "updated": "2014-12-19T01:46:36.000Z",
  "title": "Class of the affine line is a zero divisor in the Grothendieck ring",
  "authors": [
    "Lev Borisov"
  ],
  "comment": "5 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that the class of the affine line is a zero divisor in the Grothendieck ring of algebraic varieties over complex numbers. The argument is based on the Pfaffian-Grassmannian double mirror correspondence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-19T01:46:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A10"
    ],
    "keywords": [
      "zero divisor",
      "affine line",
      "grothendieck ring",
      "pfaffian-grassmannian double mirror correspondence",
      "algebraic varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6194B"
    }
  }
}