{
  "abstract": "We give a complete classification of algebraically primitive Teichmüller curves in $Ω\\mathcal M_g(2g-2)^{\\mathrm{hyp}}$ for $g\\ge5$. They are precisely the curves generated by the double regular \\((2g+1)\\)-gon when \\(2g+1\\) is prime, and by the regular \\(4g\\)-gon when \\(g\\) is a power of two.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26903",
  "author_total": 1,
  "authors": [
    {
      "name": "Myeongjae Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8sf28j7f0kbcm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26903",
  "fulltext_url": null,
  "id": "8sf28j7f0kbcm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26903",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.GT"
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      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7214216127",
  "pdf_url": "https://arxiv.org/pdf/2609.26903",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8sf28j7f0kbcm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.26903",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26903"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Algebraically primitive Teichmüller curves in Ω\\mathcal M_g(2g-2)^{\\mathrm{hyp}}",
  "title_text": "Algebraically primitive Teichmüller curves in Ω\\mathcal M_g(2g-2)^{\\mathrm{hyp}}",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/8sf28j7f0kbcm",
  "venue": "arXiv",
  "versions": []
}