{
  "id": "1808.08339",
  "version": "v1",
  "published": "2018-08-25T01:05:06.000Z",
  "updated": "2018-08-25T01:05:06.000Z",
  "title": "On the motive of intersections of two Grassmannians in ${\\mathbb{P}}^9$",
  "authors": [
    "Robert Laterveer"
  ],
  "comment": "26 pages, comments welcome",
  "journal": "Research in the Mathematical Sciences 5 no. 3 (2018), 5-29",
  "categories": [
    "math.AG"
  ],
  "abstract": "Using intersections of two Grassmannians in ${\\mathbb{P}}^9$, Ottem-Rennemo and Borisov-C\\u{a}ld\\u{a}raru-Perry have exhibited pairs of Calabi-Yau threefolds $X$ and $Y$ that are deformation equivalent, L-equivalent and derived equivalent, but not birational. To complete the picture, we show that $X$ and $Y$ have isomorphic Chow motives.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-25T01:05:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14C25",
      "14C30"
    ],
    "keywords": [
      "grassmannians",
      "intersections",
      "isomorphic chow motives",
      "calabi-yau threefolds",
      "deformation equivalent"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}