{
  "id": "math/0509243",
  "version": "v4",
  "published": "2005-09-11T17:31:46.000Z",
  "updated": "2006-09-22T18:16:32.000Z",
  "title": "On Igusa zeta functions of monomial ideals",
  "authors": [
    "Jason Howald",
    "Mircea Mustata",
    "Cornelia Yuen"
  ],
  "comment": "10 pages; to appear in Proc. Amer. Math. Soc",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We show that the real parts of the poles of the Igusa zeta function of a monomial ideal can be computed from the torus-invariant divisors on the normalized blowing-up along the ideal. Moreover, we show that every such number is a root of the Bernstein-Sato polynomial associated to the monomial ideal.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-09-22T18:16:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14M25"
    ],
    "keywords": [
      "igusa zeta function",
      "monomial ideal",
      "real parts",
      "torus-invariant divisors",
      "normalized blowing-up"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9243H"
    }
  }
}