{
  "abstract": "We prove that a bounded pseudoconvex domain with piecewise $C^2$-smooth boundary which has a finite volume quotient for the complete Kähler-Einstein metric is biholomorphic to a product of complex unit balls. More generally, the same conclusion holds for a bounded domain possessing a boundary point satisfying Kodama's conditions (C.1)-(C.5), provided the quotient has finite volume for a complete $\\operatorname{Aut}(D)$-invariant Kähler metric. For piecewise Levi-flat boundary the product is a polydisk and in the smooth pseudoconvex case it is a single ball.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19807",
  "author_total": 2,
  "authors": [
    {
      "name": "Xingsi Pu"
    },
    {
      "name": "Lang Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/10zw6y7yhqqfn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19807",
  "fulltext_url": null,
  "id": "10zw6y7yhqqfn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19807",
  "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.CV"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7221862419",
  "pdf_url": "https://arxiv.org/pdf/2610.19807",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/10zw6y7yhqqfn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.19807",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19807"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Finite volume quotients of bounded domains with piecewise smooth boundary",
  "title_text": "Finite volume quotients of bounded domains with piecewise smooth boundary",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/10zw6y7yhqqfn",
  "venue": "arXiv",
  "versions": []
}