{
  "id": "1109.5802",
  "version": "v1",
  "published": "2011-09-27T08:28:30.000Z",
  "updated": "2011-09-27T08:28:30.000Z",
  "title": "Lê-Greuel type formula for the Euler obstruction and applications",
  "authors": [
    "Nicolas Dutertre",
    "Nivaldo G. Grulha Jr."
  ],
  "journal": "Advances in Mathematics 251 (2014) 127-146",
  "categories": [
    "math.AG"
  ],
  "abstract": "The Euler obstruction of a function can be viewed as a generalization of the Milnor number for functions defined on singular spaces. In this work, using the Euler obstruction of a function, we give a version of the L\\^e-Greuel formula for two germs of analytic functions with isolated singularity at the origin on a singular space. Using this formula and results of Loeser, we also present an integral formula for the Euler obstruction of a function, generalizing a formula of Kennedy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-27T08:28:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euler obstruction",
      "lê-greuel type formula",
      "applications",
      "singular space",
      "milnor number"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.5802D"
    }
  }
}