{
  "id": "1302.1614",
  "version": "v3",
  "published": "2013-02-06T23:32:37.000Z",
  "updated": "2014-12-27T22:12:41.000Z",
  "title": "A μ-ordinary Hasse invariant",
  "authors": [
    "Wushi Goldring",
    "Marc-Hubert Nicole"
  ],
  "comment": "6 pages. This preprint is now entirely superseded by our new preprint \"The \\mu-ordinary Hasse invariant of unitary Shimura varieties\" (arXiv:1305.6956v2) which was formed by merging together this preprint with our preprint arXiv:1305.6956v1",
  "categories": [
    "math.NT"
  ],
  "abstract": "We construct a generalization of the Hasse invariant for certain unitary Shimura varieties of PEL type whose vanishing locus is the complement of the so-called \\mu-ordinary locus. We show that the \\mu-ordinary locus of those varieties is affine. As an application, we strengthen a special case of a theorem of one of us (W.G.) on the association of Galois representations to automorphic representations of unitary groups whose archimedean component is a holomorphic limit of discrete series.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-22T22:04:16.000Z",
      "comment": "6 pages, submitted",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-12-27T22:12:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hasse invariant",
      "unitary shimura varieties",
      "special case",
      "pel type",
      "galois representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.1614G"
    }
  }
}