{
  "abstract": "Let a general linear group act on a partial flag variety transitively, and consider the induced action of a Levi subgroup $L$. A Schubert variety is $\\textit{$L$-spherical}$ if it is stable under the $L$-action and contains a dense open orbit of a Borel subgroup of $L$. It is $\\textit{toric}$ if, in addition, $L$ is a torus. In this paper, we give a combinatorial classification of $L$-spherical Schubert varieties in partial flag varieties. This is achieved by applying Lakshmibai-Seshadri paths forming crystal graphs of Demazure modules. Previously, Hodges and Lakshmibai classified $L$-spherical Schubert varieties in Grassmannians. $L$-spherical Schubert varieties in complete flag varieties were treated independently by Gao-Hodges-Yong and Can-Saha. Our classification generalizes and unifies these results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00321",
  "author_total": 1,
  "authors": [
    {
      "name": "Jaewon Min"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1nvs3p6v203pa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00321",
  "fulltext_url": null,
  "id": "1nvs3p6v203pa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00321",
  "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.CO"
    ],
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00321",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1nvs3p6v203pa.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00321",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00321"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Spherical Schubert varieties in $GL_n / P$",
  "title_text": "Spherical Schubert varieties in GL_n / P",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/1nvs3p6v203pa",
  "venue": "arXiv",
  "versions": []
}