{
  "abstract": "A bstract : Batyrev’s construction provides a map from fine, regular, star triangulations (FRSTs) of 4D reflexive polytopes to smooth Calabi-Yau threefolds (CYs). We prove that there are at most 10 ²⁹⁶ diffeomorphism classes of CYs produced in this manner, improving ref. [1]’s upper bound of 10 ⁴²⁸ . To show this, we make use of the fact that any two FRSTs with the same 2-face restrictions give rise to diffeomorphic CYs and bound the number of such ‘2-face equivalence classes’ for all polytopes with Hodge number h 1,1 ≥ 300. We also put a lower bound of 10 ²⁷⁶ on the number of 2-face equivalence classes, but emphasize that this is not a lower bound on the number of diffeomorphism classes of CYs, as distinct 2-face equivalence classes may give rise to diffeomorphic threefolds.",
  "abstract_shown": true,
  "affiliations": [
    "Cornell University",
    "Université de Toulouse"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Nate MacFadden",
      "orcid": "0000-0002-8481-3724"
    },
    {
      "affs": [
        1
      ],
      "name": "Stepan Yu. Orevkov",
      "orcid": "0000-0002-8071-9116"
    },
    {
      "affs": [
        0
      ],
      "name": "Michael Stepniczka",
      "orcid": "0000-0002-3838-6653"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9rkbf298n035c.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep10(2026)062",
  "fulltext_url": null,
  "id": "9rkbf298n035c",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/10.1007/JHEP10(2026)062",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7130716038",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)062.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/9rkbf298n035c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)062",
      "source": "crossref",
      "url": "https://link.springer.com/10.1007/JHEP10(2026)062"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Algebraic Geometry and Number Theory",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Further bounding the Kreuzer-Skarke landscape",
  "title_text": "Further bounding the Kreuzer-Skarke landscape",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/9rkbf298n035c",
  "venue": "Journal of High Energy Physics",
  "versions": []
}