{
  "id": "2403.17168",
  "version": "v1",
  "published": "2024-03-25T20:35:48.000Z",
  "updated": "2024-03-25T20:35:48.000Z",
  "title": "Monodromy groups of product type",
  "authors": [
    "Danny Neftin",
    "Michael E. Zieve"
  ],
  "categories": [
    "math.AG",
    "math.GR",
    "math.NT"
  ],
  "abstract": "The combination of this paper and its companion complete the classification of monodromy groups of indecomposable coverings of complex curves $f:X\\rightarrow \\mathbb P^1$ of sufficiently large degree in comparison to the genus of $X$. In this paper we determine all such coverings with monodromy group $G\\leq S_\\ell\\wr S_t$ of product type for $t\\ge 2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-25T20:35:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G99",
      "14E20",
      "20B15",
      "12F10"
    ],
    "keywords": [
      "monodromy group",
      "product type",
      "companion complete",
      "complex curves",
      "sufficiently large degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}