{
  "abstract": "This short article resolves a question about Arthur parameters highlighted in previous work of Balodis, Cunningham, Fiori and Zhang, in the case of $\\mathrm{GL}_n/F$ where $F/\\mathbb{Q}_p$ is a $p$-adic field. Namely, we prove that every Arthur parameter $ψ$ of $\\mathrm{GL}_n/F$, can be factored into Arthur parameters $ψ\\cong ψ_1\\oplus\\cdots \\oplusψ_r$ such that the orbit $C_ψ=C_{ψ_1}\\times\\cdots\\times C_{ψ_r}\\subseteq V_{λ_{ψ_1}}\\times \\cdots \\times V_{λ_{ψ_r}}$ in the associated Vogan variety has smooth closure if and only if each $\\bar{C}_{ψ_i}$ is smooth for $i=1, \\ldots, r$, and that $C_{ψ_i}$ has smooth closure if and only if it is open or closed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06793",
  "author_total": 1,
  "authors": [
    {
      "name": "Kristaps John Balodis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fn7anwvv6d7b9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06793",
  "fulltext_url": null,
  "id": "fn7anwvv6d7b9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06793",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7212056986",
  "pdf_url": "https://arxiv.org/pdf/2609.06793",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fn7anwvv6d7b9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.06793",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06793"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A short note on Arthur parameters with singular orbit closures",
  "title_text": "A short note on Arthur parameters with singular orbit closures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/fn7anwvv6d7b9",
  "venue": "arXiv",
  "versions": []
}