{
  "abstract": "We study the Poisson chain of the compact spin Calogero-Moser-Sutherland system obtained by conjugation reduction of $T^*\\mathrm{SU}(n)$ at a fixed coadjoint orbit. We give a Horn-type condition ensuring that the spectral torus acts freely on the full fiber over a simple spectrum; for each orbit, the admissible spectra form a nonempty open dense set, and the restricted chain is strongly superintegrable of rank $n-1$ on every orbit-type stratum. We also construct, across certain affine spectral walls, a proper quotient map onto a Hausdorff stratified Poisson space with a finite Whitney stratification. For $\\mathrm{SU}(3)$, we compute the free spectral domain and the quotient near two intersecting walls, and a zero-orbit example shows that the analogous quotient need not be Hausdorff on the unrestricted reduced phase space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01002",
  "author_total": 2,
  "authors": [
    {
      "name": "Guorui Ma"
    },
    {
      "name": "Junze Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3pdyxsb582a94.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01002",
  "fulltext_url": null,
  "id": "3pdyxsb582a94",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01002",
  "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.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01002",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3pdyxsb582a94.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01002",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01002"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Stratified Superintegrability of Spin Calogero-Moser-Sutherland Systems",
  "title_text": "Stratified Superintegrability of Spin Calogero-Moser-Sutherland Systems",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/3pdyxsb582a94",
  "venue": "arXiv",
  "versions": []
}