{
  "abstract": "We prove that, for any five fixed strictly positive masses, the Newtonian central configurations of exact affine dimension three form finitely many similarity classes. The proof uses the Dziobek equations, two constant identities, and local analysis of zeros and poles on a compact complex curve.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32751",
  "author_total": 2,
  "authors": [
    {
      "name": "Kefeng Liu"
    },
    {
      "name": "Yangshanshan Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6h26gka7gsg1w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32751",
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  "id": "6h26gka7gsg1w",
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  "landing_url": "https://arxiv.org/abs/2610.32751",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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    [
      "arxiv",
      "math.DS"
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      "arxiv",
      "math.MP"
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      "openalex",
      "2608|Advanced Differential Equations and Dynamical Systems"
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  "openalex": "W7223693084",
  "pdf_url": "https://arxiv.org/pdf/2610.32751",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6h26gka7gsg1w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.32751",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32751"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Finiteness of Dziobek central configurations in the Newtonian five-body problem",
  "title_text": "Finiteness of Dziobek central configurations in the Newtonian five-body problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/6h26gka7gsg1w",
  "venue": "arXiv",
  "versions": []
}