{
  "abstract": "In this paper, we prove that a compact Kähler manifold X with semi-positive holomorphic sectional curvature admits a locally trivial fibration ϕ : X → Y $\\phi \\colon X \\to Y$ phi colon upper X right arrow upper Y , where the fiber F is a rationally connected projective manifold and the base Y is a finite étale quotient of a (compact complex) torus. This result extends the structure theorem, previously established for projective manifolds, to compact Kähler manifolds. A key part of the proof involves analyzing the foliation generated by truly flat tangent vectors and showing the abelianness of the topological fundamental group π 1 ( X ) $\\pi _{1}(X)$ pi 1 left parenthesis upper X right parenthesis , with a focus on varieties of special type.",
  "abstract_shown": true,
  "affiliations": [
    "Graduate School of Science, Tohoku University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Shin-ichi Matsumura",
      "orcid": "0000-0002-5928-527X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2pzjzx6haze28.bib",
  "cited_by": 0,
  "doi": "10.1017/fms.2026.10286",
  "fulltext_url": null,
  "id": "2pzjzx6haze28",
  "issns": [
    "2050-5094"
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  "landing_url": "https://www.cambridge.org/core/product/identifier/S2050509426102862/type/journal_article",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
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  "openalex": "W4407123465",
  "pdf_url": "https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0BC759374828907A75FA587E9B63CF16/S2050509426102862a.pdf/div-class-title-fundamental-groups-of-compact-kahler-manifolds-with-semi-positive-holomorphic-sectional-curvature-div.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": "Cambridge University Press (CUP)",
  "ris": "https://research.draconitic.com/paper/2pzjzx6haze28.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "10.1017/fms.2026.10286",
      "source": "crossref",
      "url": "https://www.cambridge.org/core/product/identifier/S2050509426102862/type/journal_article"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometry and complex manifolds",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Fundamental groups of compact Kähler manifolds with semi-positive holomorphic sectional curvature",
  "title_text": "Fundamental groups of compact Kähler manifolds with semi-positive holomorphic sectional curvature",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/2pzjzx6haze28",
  "venue": "Forum of Mathematics, Sigma",
  "versions": []
}