{
  "abstract": "We describe a Segre-Veronese construction of polynomial solutions to the interpolation conditions of the numerators of tree-level MHV gravity amplitudes given by Hodges' formula. The five- and six-point Hodges numerators arise from Segre determinants, while for every $n\\geq7$ suitable Segre determinants lead to solutions linearly independent of the Hodges numerator. The existence of such independent elements for $n=7,8$ was recently established by Mai and Zhang.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08252",
  "author_total": 3,
  "authors": [
    {
      "name": "Joris Koefler"
    },
    {
      "name": "Emanuele Ventura"
    },
    {
      "name": "Hongmiao Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f3bvab9rrhsa3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08252",
  "fulltext_url": null,
  "id": "f3bvab9rrhsa3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08252",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7221010813",
  "pdf_url": "https://arxiv.org/pdf/2610.08252",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f3bvab9rrhsa3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.08252",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08252"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Segre determinants and MHV gravity amplitudes",
  "title_text": "Segre determinants and MHV gravity amplitudes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/f3bvab9rrhsa3",
  "venue": "arXiv",
  "versions": []
}