{
  "abstract": "Let $p>3$ be a prime number. We prove that every principally polarized superspecial abelian surface over $\\mathbb{F}_{p^{2}}$ with $p^{2}$-Frobenius $[-p]$ admits a separable polarized isogeny to its Frobenius conjugate with multiplier at most $(p^{3}/2)^{1/5}$. This generalizes a recent result of Aubry, Oyono, and Vincent (2026, arXiV:2607.14624) who proved that every supersingular elliptic curve defined over $\\bar{\\mathbb{F}}_{p}$ admits an isogeny to its Frobenius conjugate with degree at most $(p/2)^{1/3}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17330",
  "author_total": 2,
  "authors": [
    {
      "name": "Eda Kırımlı"
    },
    {
      "name": "Lam L. Pham"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5c9phpbxtf626.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17330",
  "fulltext_url": null,
  "id": "5c9phpbxtf626",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17330",
  "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"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7224135665",
  "pdf_url": "https://arxiv.org/pdf/2609.17330",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5c9phpbxtf626.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2609.17330",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17330"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Small degree isogenies between conjugate principally polarized superspecial abelian surfaces",
  "title_text": "Small degree isogenies between conjugate principally polarized superspecial abelian surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/5c9phpbxtf626",
  "venue": "arXiv",
  "versions": []
}