{
  "abstract": "We establish structure theorems for polarised flag type quotients arising in the study of the moduli space of supersingular abelian varieties. In particular, we prove a refined normal form for the top level of these flags and derive an explicit, computable descent criterion for quasi-polarisations. These results provide a complete classification of the first and last step of these flags. As an application, we compute polarised flag type quotients in dimensions $g\\leq 5$, describing the fibers of the truncation morphisms as classification objects of supersingular abelian varieties.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.12351",
  "author_total": 1,
  "authors": [
    {
      "name": "Michael Burger"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f10n2sjgvfze1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.12351",
  "fulltext_url": null,
  "id": "f10n2sjgvfze1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.12351",
  "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": "W7164319339",
  "pdf_url": "https://arxiv.org/pdf/2606.12351",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f10n2sjgvfze1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2606.12351",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.12351"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Computational Framework for the Moduli of Supersingular Abelian Varieties",
  "title_text": "A Computational Framework for the Moduli of Supersingular Abelian Varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/f10n2sjgvfze1",
  "venue": "arXiv",
  "versions": []
}