{
  "id": "1110.0863",
  "version": "v1",
  "published": "2011-10-04T22:40:56.000Z",
  "updated": "2011-10-04T22:40:56.000Z",
  "title": "On the global structure of special cycles on unitary Shimura varieties",
  "authors": [
    "Nicolas Vandenbergen"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper, we study the reduced loci of special cycles on local models of the Shimura variety for GU(1; n-1). We explicitly compute the global structure of the reduced locus of a single special cycle, as well as of an arbitrary intersection of special cycles, in terms of Bruhat-Tits theory. Furthermore, as an application of our results, we prove the connectedness of arbitrary intersections of special cycles, as conjectured by Kudla and Rapoport.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-04T22:40:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35"
    ],
    "keywords": [
      "shimura variety",
      "unitary shimura varieties",
      "global structure",
      "arbitrary intersection",
      "reduced locus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.0863V"
    }
  }
}