Article Instance

HTTP 200 OK
Allow: GET
Content-Type: application/json
Vary: Accept

{
    "pk": 65045,
    "title": "Chow polynomials of uniform matroids are real-rooted",
    "subtitle": null,
    "abstract": "June Huh and Matthew Stevens conjectured that the Hilbert-Poincaré series of the Chow ring of any matroid is a polynomial with only real zeros. We prove this conjecture for the class of uniform matroids. We also prove that the Chow polynomial and the augmented Chow polynomial of any maximal ranked poset have only real zeros.\n \nMathematics Subject Classifications: 05E14, 05B35, 06A07, 26C10\n \nKeywords: Chow polynomials, real-rooted polynomials, partially ordered sets, geometric lattices",
    "language": "en",
    "license": {
        "name": "Creative Commons Attribution 4.0",
        "short_name": "CC BY 4.0",
        "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.",
        "url": "https://creativecommons.org/licenses/by/4.0"
    },
    "keywords": [
        {
            "word": "Chow polynomials"
        },
        {
            "word": "real-rooted polynomials"
        },
        {
            "word": "partially ordered sets"
        },
        {
            "word": "geometric lattices"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/5z42t7w5",
    "frozenauthors": [
        {
            "first_name": "Petter",
            "middle_name": "",
            "last_name": "Brändén",
            "name_suffix": "",
            "institution": "Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden",
            "department": ""
        },
        {
            "first_name": "Lorenzo",
            "middle_name": "",
            "last_name": "Vecchi",
            "name_suffix": "",
            "institution": "Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden",
            "department": ""
        }
    ],
    "date_submitted": "2026-04-20T22:53:43+03:00",
    "date_accepted": "2026-04-20T22:53:43+03:00",
    "date_published": "2026-04-20T10:00:00+03:00",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/65045/galley/49855/download/"
        }
    ]
}