{
  "id": "1107.2192",
  "version": "v1",
  "published": "2011-07-12T06:01:28.000Z",
  "updated": "2011-07-12T06:01:28.000Z",
  "title": "Multiplier ideals via Mather discrepancy",
  "authors": [
    "Lawrence Ein",
    "Shihoko Ishii",
    "Mircea Mustata"
  ],
  "comment": "17 pages, no figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "We define a version of multiplier ideals, the Mather multiplier ideals, on a variety with arbitrary singularities, using the Mather discrepancy and the Jacobian ideal. In this context we prove a relative vanishing theorem, thus obtaining restriction theorems and a subadditivity and summation theorems. The Mather multiplier ideals also satisfy a Skoda type result. As an application, we obtain a Briancon-Skoda type formula for the integral closures of ideals on a variety with arbitrary singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-12T06:01:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F18",
      "14B05"
    ],
    "keywords": [
      "mather discrepancy",
      "mather multiplier ideals",
      "arbitrary singularities",
      "briancon-skoda type formula",
      "skoda type result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2192E"
    }
  }
}