{
  "id": "2208.08904",
  "version": "v1",
  "published": "2022-08-18T15:19:55.000Z",
  "updated": "2022-08-18T15:19:55.000Z",
  "title": "On fake ES-irreducibile components of certain strata of smooth plane sextics",
  "authors": [
    "Eslam Badr",
    "Francesc Bars"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct the first examples of what we call fake ES-irreducible components; Definition 2.8. In our way to do so, we classify the automorphism groups of smooth plane sextics that only have automorphisms of order 3 or less; Theorems 2.1, 2.4 and 2.5, Corollaries 2.9 and 2.11.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-18T15:19:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H37",
      "14H10",
      "14H45",
      "14H50"
    ],
    "keywords": [
      "smooth plane sextics",
      "fake es-irreducibile components",
      "first examples",
      "fake es-irreducible components",
      "automorphism groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}