{
  "id": "1010.0665",
  "version": "v3",
  "published": "2010-10-04T19:33:38.000Z",
  "updated": "2012-01-24T10:28:39.000Z",
  "title": "The Secant Conjecture in the real Schubert calculus",
  "authors": [
    "Luis Garcia-Puente",
    "Nickolas Hein",
    "Christopher J. Hillar",
    "Abraham Martin del Campo",
    "James Ruffo",
    "Frank Sottile",
    "Zach Teitler"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians. It asserts that an intersection of Schubert varieties in a Grassmannian is transverse with all points real, if the flags defining the Schubert varieties are secant along disjoint intervals of a rational normal curve. We present theoretical evidence for it as well as computational evidence obtained in over one terahertz-year of computing, and we discuss some phenomena we observed in our data.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-01-24T10:28:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14P99"
    ],
    "keywords": [
      "real schubert calculus",
      "secant conjecture",
      "schubert varieties",
      "rational normal curve",
      "grassmannian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.0665G"
    }
  }
}