{
  "abstract": "Athanasiadis and Kalampogia-Evangelinou recently conjectured that the chain polynomial of any geometric lattice has only real zeros. We verify this conjecture for families of geometric lattices including perfect matroid designs, Dowling lattices, and for a class of geometric lattices that contains all lattices of flats of paving matroids.\n\nWe also investigate how the conjecture behaves with respect to certain operations such as direct products, ordinal sums and single-element extensions.",
  "abstract_shown": true,
  "affiliations": [
    "KTH Royal Institute of Technology, Department of Mathematics, SE-100 44 Stockholm (Sweden)"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Petter Brändén"
    },
    {
      "affs": [
        0
      ],
      "name": "Leonardo Saud Maia Leite"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/da5c6bgnw42bp.bib",
  "cited_by": 0,
  "doi": "10.5802/alco.513",
  "fulltext_url": null,
  "id": "da5c6bgnw42bp",
  "issns": [
    "2589-5486"
  ],
  "landing_url": "https://alco.centre-mersenne.org/articles/10.5802/alco.513/",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W4415013403",
  "pdf_url": "https://alco.centre-mersenne.org/item/10.5802/alco.513.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": "MathDoc/Centre Mersenne",
  "ris": "https://research.draconitic.com/paper/da5c6bgnw42bp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:25Z",
      "native_id": "10.5802/alco.513",
      "source": "crossref",
      "url": "https://alco.centre-mersenne.org/articles/10.5802/alco.513/"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Advanced Combinatorial Mathematics",
      "subfield": "combinatorics"
    }
  ],
  "title": "On chain polynomials of geometric lattices",
  "title_text": "On chain polynomials of geometric lattices",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:25Z",
  "url": "https://research.draconitic.com/paper/da5c6bgnw42bp",
  "venue": "Algebraic Combinatorics",
  "versions": []
}