{
  "id": "2502.07233",
  "version": "v1",
  "published": "2025-02-11T03:53:39.000Z",
  "updated": "2025-02-11T03:53:39.000Z",
  "title": "A birational description of the minimal exponent",
  "authors": [
    "Qianyu Chen",
    "Mircea Mustaţă"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-11T03:53:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14F10",
      "14J17",
      "32S25"
    ],
    "keywords": [
      "minimal exponent",
      "birational description",
      "higher direct images",
      "log forms",
      "log resolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}