{
  "id": "1702.07812",
  "version": "v1",
  "published": "2017-02-25T00:39:06.000Z",
  "updated": "2017-02-25T00:39:06.000Z",
  "title": "Modularity of generating series of divisors on unitary Shimura varieties",
  "authors": [
    "Jan Bruinier",
    "Benjamin Howard",
    "Stephen S. Kudla",
    "Michael Rapoport",
    "Tonghai Yang"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We form generating series of special divisors, valued in the Chow group and in the arithmetic Chow group, on the compactified integral model of a Shimura variety associated to a unitary group of signature (n-1,1), and prove their modularity. The main ingredient of the proof is the calculation of the vertical components appearing in the divisor of a Borcherds product on the integral model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-25T00:39:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "11F55",
      "11F27"
    ],
    "keywords": [
      "shimura variety",
      "unitary shimura varieties",
      "modularity",
      "arithmetic chow group",
      "main ingredient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}