{
  "abstract": "Let $B\\subset\\mathbb{C}^n$ be a ball centred at the origin and $D=\\{z^1=0\\}$. Let $g$ be a Kähler metric of constant holomorphic sectional curvature (chsc) on $B\\setminus D$, uniformly equivalent to the model cone metric of angle $2πβ$, with $0<β<1$, and polyhomogeneous along $D$. We prove that, in suitable holomorphic coordinates $(w^1, \\ldots, w^n)$ centred at the origin, the metric $g$ is the pullback of the corresponding complex space form by the map $(w^1,w^2,\\dots,w^n)\\longmapsto \\bigl((w^1)^β,w^2,\\dots,w^n\\bigr)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11760",
  "author_total": 1,
  "authors": [
    {
      "name": "Martin de Borbon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c259zf1x34skf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11760",
  "fulltext_url": null,
  "id": "c259zf1x34skf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11760",
  "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.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7212275308",
  "pdf_url": "https://arxiv.org/pdf/2609.11760",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c259zf1x34skf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:30Z",
      "native_id": "2609.11760",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11760"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Local classification of chsc Kähler metrics with cone singularities",
  "title_text": "Local classification of chsc Kähler metrics with cone singularities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:30Z",
  "url": "https://research.draconitic.com/paper/c259zf1x34skf",
  "venue": "arXiv",
  "versions": []
}