{
  "id": "1605.02298",
  "version": "v1",
  "published": "2016-05-08T09:26:19.000Z",
  "updated": "2016-05-08T09:26:19.000Z",
  "title": "On the Real-rootedness of the Local $h$-polynomials of Edgewise Subdivisions of Simplexes",
  "authors": [
    "Philip B. Zhang"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CO",
    "math.CA"
  ],
  "abstract": "Athanasiadis conjectured, for every positive integer $r$, the local $h$-polynomial of $r$th edgewise subdivision of any abstract complex has only real zeros. In this paper, we prove this conjecture by the method of interlacing polynomials, which recently has been widely developed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-08T09:26:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26C10",
      "05E45",
      "52B45",
      "05A15"
    ],
    "keywords": [
      "real-rootedness",
      "th edgewise subdivision",
      "abstract complex",
      "real zeros",
      "positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}