{
  "id": "1510.01825",
  "version": "v1",
  "published": "2015-10-07T05:17:17.000Z",
  "updated": "2015-10-07T05:17:17.000Z",
  "title": "Cup products, the Heisenberg group, and codimension two algebraic cycles",
  "authors": [
    "Ettore Aldrovandi",
    "Niranjan Ramachandran"
  ],
  "comment": "20 pages; comments welcome",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "We define higher categorical invariants (gerbes) of codimension two algebraic cycles and provide a categorical interpretation of the intersection of divisors on a smooth proper algebraic variety. This generalization of the classical relation between divisors and line bundles furnishes a new perspective on the Bloch-Quillen formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-07T05:17:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "14F42",
      "55P20",
      "55N15"
    ],
    "keywords": [
      "algebraic cycles",
      "cup products",
      "heisenberg group",
      "codimension",
      "smooth proper algebraic variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}