{
  "id": "1608.03646",
  "version": "v1",
  "published": "2016-08-12T01:00:47.000Z",
  "updated": "2016-08-12T01:00:47.000Z",
  "title": "Bernstein-Sato Polynomials on Normal Toric Varieties",
  "authors": [
    "Jen-Chieh Hsiao",
    "Laura Felicia Matusevich"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG",
    "math.AC",
    "math.CO"
  ],
  "abstract": "We generalize the Bernstein-Sato polynomials of Budur, Mustata and Saito to ideals in normal semigroup rings. In the case of monomial ideals, we also relate the roots of the Bernstein-Sato polynomial to the jumping coefficients of the corresponding multiplier ideals. In order to prove the latter result, we obtain a new combinatorial description for the multiplier ideals of a monomial ideal in a normal semigroup ring.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-12T01:00:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F10",
      "14M25",
      "14F18",
      "14B05"
    ],
    "keywords": [
      "bernstein-sato polynomial",
      "normal toric varieties",
      "normal semigroup ring",
      "monomial ideal",
      "corresponding multiplier ideals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}