{
  "abstract": "In this paper, we introduce a new class of unbounded Reinhardt domains in $\\mathbb C^n$ ($n\\geq 2$),which we call horn domains. We study the dimensions of the Bergman spaces,the holomorphic sectional curvature of the Bergman metric, and the holomorphic equivalence problem for such horn Reinhardt domains.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17527",
  "author_total": 3,
  "authors": [
    {
      "name": "Chika Hayashida"
    },
    {
      "name": "Joe Kamimoto"
    },
    {
      "name": "Ninh Van Thu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3en7fyh5ttmb0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17527",
  "fulltext_url": null,
  "id": "3en7fyh5ttmb0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17527",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7221825564",
  "pdf_url": "https://arxiv.org/pdf/2610.17527",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3en7fyh5ttmb0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17527",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17527"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On horn-shaped Reinhardt domains",
  "title_text": "On horn-shaped Reinhardt domains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/3en7fyh5ttmb0",
  "venue": "arXiv",
  "versions": []
}