{
  "id": "1308.2632",
  "version": "v2",
  "published": "2013-08-12T17:34:26.000Z",
  "updated": "2014-03-04T15:02:01.000Z",
  "title": "Polynomials for GL_p x GL_q orbit closures in the flag variety",
  "authors": [
    "Benjamin J. Wyser",
    "Alexander Yong"
  ],
  "comment": "25 pages; v2 to appear in Selecta Math",
  "categories": [
    "math.RT",
    "math.AG",
    "math.CO"
  ],
  "abstract": "The subgroup K=GL_p x GL_q of GL_{p+q} acts on the (complex) flag variety GL_{p+q}/B with finitely many orbits. We introduce a family of polynomials that specializes to representatives for cohomology classes of the orbit closures in the Borel model. We define and study K-orbit determinantal ideals to support the geometric naturality of these representatives. Using a modification of these ideals, we describe an analogy between two local singularity measures: the H-polynomials and the Kazhdan-Lusztig-Vogan polynomials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-04T15:02:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orbit closures",
      "flag variety",
      "study k-orbit determinantal ideals",
      "local singularity measures",
      "borel model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2632W"
    }
  }
}