{
  "abstract": "One can associate a pair of vector bundles $(E, F)$ on $\\mathbb{P}^1$ to every tetragonal curve: $E$ is the Tschirnhausen bundle and $F$ records numerical data of the ideal for the curve under its relative canonical embedding. In this note, we show that a Hurwitz--Brill--Noether general tetragonal curve must have balanced $E$, $F$ bundles, and provide counterexamples for the converse when $g = 8$ or $g \\geq 10$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08679",
  "author_total": 1,
  "authors": [
    {
      "name": "Feiyang Lin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3g4qrge674ehf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08679",
  "fulltext_url": null,
  "id": "3g4qrge674ehf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08679",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08679",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3g4qrge674ehf.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:07Z",
      "native_id": "2611.08679",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08679"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Special line bundles on tetragonal curves",
  "title_text": "Special line bundles on tetragonal curves",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:07Z",
  "url": "https://research.draconitic.com/paper/3g4qrge674ehf",
  "venue": "arXiv",
  "versions": []
}