{
  "abstract": "In this paper, we study Steinness of holomorphic fibre bundles. Over a compact Riemann surface, we prove that every holomorphic ball bundle is weakly $1$-complete and that its total space is Stein if and only if it admits no holomorphic section. We also obtain higher-dimensional Stein criteria for reductive ball bundles and affine bundles in terms of positivity of the canonical class. A topological obstruction to the $1$-convexity of holomorphic fibre bundles is also established.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01693",
  "author_total": 1,
  "authors": [
    {
      "name": "Masakazu Takakura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2hdaecmzwe5nn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01693",
  "fulltext_url": null,
  "id": "2hdaecmzwe5nn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01693",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01693",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2hdaecmzwe5nn.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01693",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01693"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Stein Criteria for Holomorphic Fibre Bundles",
  "title_text": "Stein Criteria for Holomorphic Fibre Bundles",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/2hdaecmzwe5nn",
  "venue": "arXiv",
  "versions": []
}