{
  "abstract": "Let $X=V_5$ be the quintic del Pezzo threefold. Along the negative zero-tilt-slope paths for rational-curve ideal classes, degree five is the first degree admitting a positive point correction. We determine the resulting degree-five outer good moduli space: it is reduced with exactly two irreducible components, a normal ten-dimensional principal branch and a smooth corrected branch $X\\times\\mathrm{Gr}(2,7)$. Their scheme-theoretic intersection is a normal determinantal ninefold. Along its singular locus, the principal branch has transverse rank-one $2\\times 4$ determinantal singularities, while the intersection has the corresponding $2\\times 3$ singularities. We construct an explicit small resolution of the principal branch as the projectivization of a rank-five extension bundle over the blow-up of the Altavilla--Petković--Rota Kuznetsov-component sixfold along its point locus. Uniform wall exclusion and point-correction bounds for degrees two through five establish the first correction threshold; the corrected degree-five factors are precisely the ideals of elliptic linear sections parametrized by $\\mathrm{Gr}(2,7)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39336",
  "author_total": 1,
  "authors": [
    {
      "name": "Zheyuan Fu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b2kr52h3b1z54.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39336",
  "fulltext_url": null,
  "id": "b2kr52h3b1z54",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39336",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "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",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39336",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b2kr52h3b1z54.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.39336",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39336"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Point Corrections and Wall-Crossing Geometry on the Quintic del Pezzo Threefold",
  "title_text": "Point Corrections and Wall-Crossing Geometry on the Quintic del Pezzo Threefold",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/b2kr52h3b1z54",
  "venue": "arXiv",
  "versions": []
}