{
  "abstract": "Let $\\mathbb{k}$ be an algebraically closed field of characteristic $p>2$ and let $O_K$ be an imaginary quadratic order in which $p$ is inert. For any $a,b\\in \\mathbb{Z}_{\\geq 0}$ not both 0, denote by $M(a,b)$ the unitary Shimura variety that parametrizes principally polarized abelian varieties over $\\mathbb{k}$ with an action of signature $(a,b)$ by $O_K$ (subject to certain compatibility conditions). For any $a,b,c,d \\in \\mathbb{Z}_{\\geq 0}$, there is a natural product map $M(a,b) \\times M(c,d) \\to M(a+c,b+d)$, which induces a map on Ekedahl-Oort strata. In this paper we focus on product maps where at least one of the factors is superspecial, since most Ekedahl-Oort strata of unitary Shimura varieties contain such a factor. We describe maps with this property completely on the level of Weyl group coset representatives. We also characterize, on the level of Weyl group coset representatives, which Ekedahl-Oort strata of $M(a,b)$ admit a superspecial factor.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22036",
  "author_total": 5,
  "authors": [
    {
      "name": "Emerald Andrews"
    },
    {
      "name": "Deewang Bhamidipati"
    },
    {
      "name": "Heidi Goodson"
    },
    {
      "name": "Steven R. Groen"
    },
    {
      "name": "Sandra Nair"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fc2ncm0w9cwgh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22036",
  "fulltext_url": null,
  "id": "fc2ncm0w9cwgh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22036",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7222714540",
  "pdf_url": "https://arxiv.org/pdf/2610.22036",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fc2ncm0w9cwgh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.22036",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22036"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Ekedahl-Oort strata with a superspecial factor in unitary Shimura varieties",
  "title_text": "Ekedahl-Oort strata with a superspecial factor in unitary Shimura varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/fc2ncm0w9cwgh",
  "venue": "arXiv",
  "versions": []
}