{
  "id": "1612.08497",
  "version": "v1",
  "published": "2016-12-27T04:12:31.000Z",
  "updated": "2016-12-27T04:12:31.000Z",
  "title": "The class of the affine line is a zero divisor in the Grothendieck ring: via K3 surfaces of degree 12",
  "authors": [
    "Atsushi Ito",
    "Makoto Miura",
    "Shinnosuke Okawa",
    "Kazushi Ueda"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that general K3 surfaces of degree 12 come in non-isomorphic Fourier-Mukai pairs $(X, Y)$ satisfying $[\\mathbb{A}^3] \\cdot ([X]-[Y]) = 0$ in the Grothendieck ring of varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-27T04:12:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine line",
      "zero divisor",
      "grothendieck ring",
      "general k3 surfaces",
      "non-isomorphic fourier-mukai pairs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}