{
  "abstract": "We introduce new techniques to study mixed-characteristic special loci in moduli spaces and give several applications, focusing in particular on the moduli space $\\mathsf{M}_g$ of curves. These applications include Zariski density results for split Jacobians, non-density results for supersingular loci, and lifting results for algebraic cycles, all under appropriate numerical conditions. Our methods generalize to more-or-less arbitrary moduli spaces mapping to Hodge-type Shimura varieties (and even some settings beyond the Shimura case), and relate to questions raised by Oort and de Jong.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08382",
  "author_total": 2,
  "authors": [
    {
      "name": "David Urbanik"
    },
    {
      "name": "Ziquan Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ftz40r0xtf3x8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08382",
  "fulltext_url": null,
  "id": "ftz40r0xtf3x8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08382",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
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  ],
  "openalex": "W7220993310",
  "pdf_url": "https://arxiv.org/pdf/2610.08382",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ftz40r0xtf3x8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08382",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08382"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Special Loci in the Moduli of Curves",
  "title_text": "Special Loci in the Moduli of Curves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/ftz40r0xtf3x8",
  "venue": "arXiv",
  "versions": []
}