{
  "abstract": "We present a study of cubic surfaces from the novel perspective of positive geometry. Our positive geometries have dimension two (the surface minus its 27 lines), dimension three (its complement in 3-space), and dimension four (the moduli space). In each case we explore the positive arrangement, its combinatorial rank, and the canonical forms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.11909",
  "author_total": 2,
  "authors": [
    {
      "name": "Bernd Sturmfels"
    },
    {
      "name": "Simon Telen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b8qh5ja2cf3js.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.11909",
  "fulltext_url": null,
  "id": "b8qh5ja2cf3js",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.11909",
  "language": null,
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  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.CO"
    ],
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      "openalex",
      "2608|Algebraic Geometry and Number Theory"
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  "openalex": "W7161012334",
  "pdf_url": "https://arxiv.org/pdf/2605.11909",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b8qh5ja2cf3js.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2605.11909",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.11909"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Positive Geometries from Cubic Surfaces",
  "title_text": "Positive Geometries from Cubic Surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/b8qh5ja2cf3js",
  "venue": "arXiv",
  "versions": []
}