{
  "id": "0802.1437",
  "version": "v2",
  "published": "2008-02-11T13:41:19.000Z",
  "updated": "2009-03-07T11:23:18.000Z",
  "title": "Notes on the biextension of Chow groups",
  "authors": [
    "Sergey Gorchinskiy"
  ],
  "comment": "42 pages; sections concerning determinant of cohomology construction are completely changed; several improvements in other parts are made",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "The paper discusses four approaches to the biextension of Chow groups and their equivalences. These are the following: an explicit construction given by S.Bloch, a construction in terms of the Poincare biextension of dual intermediate Jacobians, a construction in terms of K-cohomology, and a construction in terms of determinant of cohomology of coherent sheaves. A new approach to J.Franke's Chow categories is given. An explicit formula for the Weil pairing of algebraic cycles is obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-07T11:23:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chow groups",
      "dual intermediate jacobians",
      "frankes chow categories",
      "poincare biextension",
      "explicit construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.1437G"
    }
  }
}