{
  "abstract": "Let $f \\colon S \\rightarrow B$ be a fibred surface over an algebraically closed field $k$ of characteristic $p \\geq 5$, where $S$ is a minimal smooth projective surface of general type and $B$ is a smooth projective curve of genus $b\\geq 2$. We prove that the group of fibration-preserving automorphisms of $f$ has order at most $15658(K_S^2)^{4}$. Furthermore, we provide an example to show that the exponent $4$ of the polynomial bound is sharp.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21485",
  "author_total": 1,
  "authors": [
    {
      "name": "Xiaokun Zhong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6gk2m8mz78cj5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21485",
  "fulltext_url": null,
  "id": "6gk2m8mz78cj5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21485",
  "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/2609.21485",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6gk2m8mz78cj5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.21485",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21485"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Bound of automorphisms of fibred surfaces in positive characteristic",
  "title_text": "Bound of automorphisms of fibred surfaces in positive characteristic",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/6gk2m8mz78cj5",
  "venue": "arXiv",
  "versions": []
}