{
  "abstract": "We prove that a complete noncompact Kähler surface with nonnegative Ricci and nonnegative quadratic orthogonal bisectional curvature is contractible, and hence homeomorphic to $\\mathbb{R}^4$, if it is simply connected at infinity. Under positive bisectional curvature, this removes the contractibility assumption from the conditional uniformization theorem of Datar--Pingali--Seshadri: strong Steinness and simple connectivity at infinity suffice to identify the surface biholomorphically with $\\mathbb{C}^2$. We also derive bounded-gradient strictly plurisubharmonic exhaustions and uniform holomorphic kernel estimates for complete $U(n)$-invariant Kähler metrics on $\\mathbb{C}^n$ with nonnegative bisectional curvature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18506",
  "author_total": 1,
  "authors": [
    {
      "name": "Jingcao Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/97nkfbnepgjwe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18506",
  "fulltext_url": null,
  "id": "97nkfbnepgjwe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18506",
  "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": "W7213503139",
  "pdf_url": "https://arxiv.org/pdf/2609.18506",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/97nkfbnepgjwe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18506",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18506"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Conditional Uniformization of Kähler Surfaces",
  "title_text": "Conditional Uniformization of Kähler Surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/97nkfbnepgjwe",
  "venue": "arXiv",
  "versions": []
}