{
  "id": "2004.09343",
  "version": "v1",
  "published": "2020-04-20T14:42:41.000Z",
  "updated": "2020-04-20T14:42:41.000Z",
  "title": "Compatibility of weak approximation for zero-cycles on products of varieties",
  "authors": [
    "Yongqi Liang"
  ],
  "comment": "This is the first version, comments are welcome",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Zero-cycles are conjectured to satisfy weak approximation with Brauer-Manin obstruction for proper smooth varieties defined over number fields. Roughly speaking, we prove that the conjecture is compatible for products of rationally connected varieties, K3 surfaces, Kummer varieties, and one curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-20T14:42:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G12"
    ],
    "keywords": [
      "zero-cycles",
      "compatibility",
      "proper smooth varieties",
      "satisfy weak approximation",
      "number fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}