{
  "abstract": "We classify all finite groups of order divisible by $7$ that admit a faithful symplectic action on a K3 surface over an algebraically closed field of characteristic seven, together with the possible heights and Artin invariants. Combined with the known classification of tame actions, this gives the complete list of finite groups admitting such an action in characteristic seven.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25251",
  "author_total": 2,
  "authors": [
    {
      "name": "Bin Wang"
    },
    {
      "name": "Zhiwei Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/62nx4jdjkgwka.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25251",
  "fulltext_url": null,
  "id": "62nx4jdjkgwka",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25251",
  "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",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7223012577",
  "pdf_url": "https://arxiv.org/pdf/2610.25251",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/62nx4jdjkgwka.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25251",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25251"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Finite Symplectic Automorphism Groups of K3 Surfaces in Characteristic Seven",
  "title_text": "Finite Symplectic Automorphism Groups of K3 Surfaces in Characteristic Seven",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/62nx4jdjkgwka",
  "venue": "arXiv",
  "versions": []
}