{
  "id": "1908.06424",
  "version": "v1",
  "published": "2019-08-18T11:25:26.000Z",
  "updated": "2019-08-18T11:25:26.000Z",
  "title": "On the Chow group of the self-product of a CM elliptic curve defined over a number field",
  "authors": [
    "Kalyan Banerjee",
    "Kalyan Chakraborty"
  ],
  "comment": "7 pages, comments are welcome",
  "categories": [
    "math.NT",
    "math.AG",
    "math.KT"
  ],
  "abstract": "In this note we study the cokernel of the restriction map from the Chow group of codimension 2 cycles on the spread of the self product of a CM-elliptic curve over the ring of integers of a number field to the codimension 2 cycles on the self of product of the CM elliptic curve itself. We prove that this cokernel is pro-finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-18T11:25:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25"
    ],
    "keywords": [
      "cm elliptic curve",
      "number field",
      "chow group",
      "self-product",
      "restriction map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}