{
  "abstract": "We report a proof found by an artificial intelligence system for the following statement: The hyperbolicity cone of every strictly hyperbolic polynomial is spectrahedral. This establishes the generalized Lax conjecture for the generic case, while the full conjecture remains open.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24542",
  "author_total": 2,
  "authors": [
    {
      "name": "Mario Kummer"
    },
    {
      "name": "Tim Netzer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3hedz5mw94r7v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24542",
  "fulltext_url": null,
  "id": "3hedz5mw94r7v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24542",
  "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",
      "math.AG"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2612|Advanced Optimization Algorithms Research"
    ]
  ],
  "openalex": "W7214003207",
  "pdf_url": "https://arxiv.org/pdf/2609.24542",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3hedz5mw94r7v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.24542",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24542"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials",
  "title_text": "The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/3hedz5mw94r7v",
  "venue": "arXiv",
  "versions": []
}