{
  "id": "2311.18310",
  "version": "v1",
  "published": "2023-11-30T07:29:03.000Z",
  "updated": "2023-11-30T07:29:03.000Z",
  "title": "The jump of the Milnor number of quasihomogeneous singularities for linear deformations",
  "authors": [
    "Aleksandra Zakrzewska"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "The jump of the Milnor number of an isolated singularity $f_0$ is the minimal non-zero difference between the Milnor numbers of $f_0$ and one of its deformations $f_s$. We determinate the jump of quasihomogeneous singularities in the class of linear deformations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-30T07:29:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "milnor number",
      "linear deformations",
      "quasihomogeneous singularities",
      "minimal non-zero difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}