{
  "abstract": "For a regular Hessenberg variety associated to the Hessenberg function $h=(2,3,4,\\ldots,n,n)$, we construct Cartier divisors $D_A$ associated to lower subsets $\\emptyset\\subsetneq A\\subsetneq[n]$. We show that their first Chern classes satisfy the quadratic relations suggested by the combination of the works of B$\\breve{\\text{a}}$libanu-Crooks and Horiguchi-Masuda-Shareshian-Song. We also give a characterization of these divisors in terms of the centralizer action. It also follows that these divisors generate the (pseudo)effective cone of divisors on the Hessenberg variety.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28114",
  "author_total": 2,
  "authors": [
    {
      "name": "Hiraku Abe"
    },
    {
      "name": "Haozhi Zeng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dwvt59rb16xj7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28114",
  "fulltext_url": null,
  "id": "dwvt59rb16xj7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28114",
  "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.RT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7223120515",
  "pdf_url": "https://arxiv.org/pdf/2610.28114",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dwvt59rb16xj7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.28114",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28114"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Divisors on regular Hessenberg varieties for h=(2,3,4,...,n,n) associated to lower subsets",
  "title_text": "Divisors on regular Hessenberg varieties for h=(2,3,4,...,n,n) associated to lower subsets",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/dwvt59rb16xj7",
  "venue": "arXiv",
  "versions": []
}