{
  "id": "1702.07848",
  "version": "v1",
  "published": "2017-02-25T07:36:57.000Z",
  "updated": "2017-02-25T07:36:57.000Z",
  "title": "Arithmetic intersection on GSpin Rapoport-Zink spaces",
  "authors": [
    "Chao Li",
    "Yihang Zhu"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove an explicit formula for the arithmetic intersection number of diagonal cycles on GSpin Rapoport-Zink spaces in the minuscule case. This is a local problem arising from the arithmetic Gan-Gross-Prasad conjecture for orthogonal Shimura varieties. Our formula can be viewed as an orthogonal counterpart of the arithmetic-geometric side of the arithmetic fundamental lemma proved by Rapoport-Terstiege-Zhang in the minuscule case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-25T07:36:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G18",
      "14G17",
      "22E55"
    ],
    "keywords": [
      "gspin rapoport-zink spaces",
      "minuscule case",
      "arithmetic fundamental lemma",
      "arithmetic gan-gross-prasad conjecture",
      "orthogonal shimura varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}