{
  "abstract": "To each face $\\mathcal{F}$ of the coweight polytope $\\mathcal{P}_μ$, we associate a subset $\\text{Adm}(μ)_{\\mathcal{F}}$ of the $μ$-admissible set $\\text{Adm}(μ)$, which we refer to as a face of $\\text{Adm}(μ)$. This gives rise to a face decomposition of $\\text{Adm}(μ)$. As an application, we give a complete description of the fibers of the face map $|Δ|^f$ defined by Pappas-Rapoport and prove that the face map is surjective.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.15657",
  "author_total": 1,
  "authors": [
    {
      "name": "Qingchao Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f0zk50z6qx3vt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.15657",
  "fulltext_url": null,
  "id": "f0zk50z6qx3vt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.15657",
  "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.NT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7161558258",
  "pdf_url": "https://arxiv.org/pdf/2605.15657",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f0zk50z6qx3vt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2605.15657",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.15657"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the Face Map of the Admissible Set With Parahoric Level",
  "title_text": "On the Face Map of the Admissible Set With Parahoric Level",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/f0zk50z6qx3vt",
  "venue": "arXiv",
  "versions": []
}