{
  "id": "2101.03152",
  "version": "v1",
  "published": "2021-01-08T18:30:53.000Z",
  "updated": "2021-01-08T18:30:53.000Z",
  "title": "Stability of pencils of plane sextics and Halphen pencils of index two",
  "authors": [
    "Aline Zanardini"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the stability of pencils of plane sextics in the sense of geometric invariant theory. In particular, we obtain a complete and geometric description of the stability of Halphen pencils of index two.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-08T18:30:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L24",
      "14J27"
    ],
    "keywords": [
      "plane sextics",
      "halphen pencils",
      "geometric invariant theory",
      "geometric description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}