{
  "id": "2007.09958",
  "version": "v1",
  "published": "2020-07-20T09:17:31.000Z",
  "updated": "2020-07-20T09:17:31.000Z",
  "title": "Monodromy of general hypersurfaces",
  "authors": [
    "Maria Gioia Cifani"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be a general complex projective hypersurface in $\\mathbb{P}^{n+1}$ of degree $d>1$. A point $P$ not in $X$ is called uniform if the monodromy group of the projection of $X$ from $P$ is isomorphic to the symmetric group. We prove that all the points in $\\mathbb{P}^{n+1}$ are uniform for $X$, generalizing a result of Cukierman on general plane curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-20T09:17:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H30",
      "14H50",
      "14J10",
      "14J70"
    ],
    "keywords": [
      "general hypersurfaces",
      "general complex projective hypersurface",
      "general plane curves",
      "symmetric group",
      "monodromy group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}