{
  "id": "math/0507171",
  "version": "v1",
  "published": "2005-07-08T09:42:22.000Z",
  "updated": "2005-07-08T09:42:22.000Z",
  "title": "Monodromy",
  "authors": [
    "Wolfgang Ebeling"
  ],
  "comment": "Survey article for the Proceedings of the Conference \"Singularities and Computer Algebra\" on Occasion of Gert-Martin Greuel's 60th Birthday, LMS Lecture Notes (to appear)",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $(X,x)$ be an isolated complete intersection singularity and let $f : (X,x) \\to (\\CC,0)$ be the germ of an analytic function with an isolated singularity at $x$. An important topological invariant in this situation is the Picard-Lefschetz monodromy operator associated to $f$. We give a survey on what is known about this operator. In particular, we review methods of computation of the monodromy and its eigenvalues (zeta function), results on the Jordan normal form of it, definition and properties of the spectrum, and the relation between the monodromy and the topology of the singularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-08T09:42:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D05",
      "32S40"
    ],
    "keywords": [
      "isolated complete intersection singularity",
      "jordan normal form",
      "picard-lefschetz monodromy operator",
      "zeta function",
      "analytic function"
    ],
    "tags": [
      "conference paper",
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7171E"
    }
  }
}