{
  "id": "1504.06518",
  "version": "v1",
  "published": "2015-04-24T14:16:17.000Z",
  "updated": "2015-04-24T14:16:17.000Z",
  "title": "Generic sections of essentially isolated determinantal singularities",
  "authors": [
    "Jean-Paul Brasselet",
    "Nancy Chachapoyas",
    "Maria A. S. Ruas"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the essentially isolated determinantal singularities (EIDS), defined by W. Ebeling and S. Gusein-Zade, as a generalization of isolated singularity. We prove in dimension $3$ a minimality theorem for the Milnor number of a generic hyperplane section of an EIDS, generalizing previous results by J. Snoussi in dimension $2$. We define strongly generic hyperplane sections of an EIDS and show that they are still EIDS. Using strongly general hyperplanes, we extend a result of L\\^e D. T. concerning constancy of the Milnor number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-24T14:16:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularity",
      "essentially isolated determinantal singularities",
      "generic sections",
      "milnor number",
      "define strongly generic hyperplane sections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150406518B"
    }
  }
}