{
  "id": "2201.06162",
  "version": "v2",
  "published": "2022-01-17T00:14:05.000Z",
  "updated": "2022-01-27T04:20:33.000Z",
  "title": "Chow motives of genus one fibrations",
  "authors": [
    "Daiki Kawabe"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we prove the existence of an isomorphism of Chow motives between a genus one fibration and the associated Jacobian fibration. Using this result, we prove the Kimura finiteness of surfaces not of general type defined over an arbitrary algebraically closed field with geometric genus zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-01-27T04:20:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C15",
      "14J27",
      "14J28"
    ],
    "keywords": [
      "chow motives",
      "geometric genus zero",
      "associated jacobian fibration",
      "general type",
      "arbitrary algebraically closed field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}