{
  "id": "2308.03534",
  "version": "v1",
  "published": "2023-08-07T12:32:08.000Z",
  "updated": "2023-08-07T12:32:08.000Z",
  "title": "On the non-Transversality of the Hyperelliptic Locus and the Supersingular Locus for $g=3$",
  "authors": [
    "Andreas Pieper"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "This paper gives a criterion for a moduli point to be a point of non-transversal intersection of the hyperelliptic locus and the supersingular locus in the Siegel moduli stack $\\mathfrak{A}_3 \\times \\mathbb{F}_p$. It is shown that for infinitely many primes $p$ there exists such a point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-07T12:32:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperelliptic locus",
      "supersingular locus",
      "non-transversality",
      "siegel moduli stack"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}