{
  "abstract": "Using rational Ehrhart theory and Fourier analysis, we give an elementary proof that the volume of a closed manifold equipped with an integral-integral affine structure equals the number of its integral points.",
  "abstract_shown": true,
  "affiliations": [
    "Tel Aviv University, Israel",
    "George Mason University, USA"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Oded Elisha"
    },
    {
      "affs": [
        0
      ],
      "name": "Yael Karshon"
    },
    {
      "affs": [
        1
      ],
      "name": "Yiannis Loizides"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2fzmfcy04y72c.bib",
  "cited_by": 0,
  "doi": "10.3842/sigma.2026.102",
  "fulltext_url": null,
  "id": "2fzmfcy04y72c",
  "issns": [
    "1815-0659"
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  "landing_url": "https://sigma-journal.com/2026/102/",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
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  "published": "2026-10-29",
  "publisher": "SIGMA (Symmetry, Integrability and Geometry: Methods and Application)",
  "ris": "https://research.draconitic.com/paper/2fzmfcy04y72c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:27Z",
      "native_id": "10.3842/sigma.2026.102",
      "source": "crossref",
      "url": "https://sigma-journal.com/2026/102/"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:1815-0659",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Integral Points and Volume of Integral-Integral Affine Manifolds",
  "title_text": "Integral Points and Volume of Integral-Integral Affine Manifolds",
  "type": "peer-reviewed",
  "updated_at": "2026-10-31T00:20:45Z",
  "url": "https://research.draconitic.com/paper/2fzmfcy04y72c",
  "venue": "Symmetry, Integrability and Geometry: Methods and Applications",
  "versions": []
}