{
  "abstract": "We prove that the wedge local model for a ramified unitary group of signature $(r,s)$ ($r>s$) at self-dual level is flat when $p\\geq 2s-1$, confirming Pappas's conjecture in this case. The proof first reduces the problem to determining the defining equations of a nilpotent orbit closure of self-adjoint matrices, and then to computing the global sections of the corresponding Kempf resolution. The computation is carried out by reducing to the type $A$ case using the Koszul complex.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02602",
  "author_total": 1,
  "authors": [
    {
      "name": "Yu Luo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0264v49r48krp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02602",
  "fulltext_url": null,
  "id": "0264v49r48krp",
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  "landing_url": "https://arxiv.org/abs/2610.02602",
  "language": null,
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  "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"
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      "arxiv",
      "math.NT"
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      "openalex",
      "2610|Advanced Algebra and Geometry"
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  "openalex": "W7220376402",
  "pdf_url": "https://arxiv.org/pdf/2610.02602",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0264v49r48krp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2610.02602",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02602"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Pappas's conjecture on ramified unitary local models",
  "title_text": "Pappas's conjecture on ramified unitary local models",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/0264v49r48krp",
  "venue": "arXiv",
  "versions": []
}