{
  "abstract": "Let $p:X\\rightarrowΔ$ be a proper holomorphic submersion from a Kähler manifold $X$. We prove that, if $K_{X_t}$ is nef for every $t\\inΔ$, then $\\dim_{\\mathbb C}H^0(X_t,mK_{X_t})$ is independent of $t$ for every integer $m\\geq1$. This gives a partial answer to Siu's conjecture on the invariance of plurigenera for Kähler families.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37804",
  "author_total": 4,
  "authors": [
    {
      "name": "Fusheng Deng"
    },
    {
      "name": "Jiafu Ning"
    },
    {
      "name": "Zhiwei Wang"
    },
    {
      "name": "Xiangyu Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3jq1xvwt94gwy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37804",
  "fulltext_url": null,
  "id": "3jq1xvwt94gwy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37804",
  "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": "W7214982645",
  "pdf_url": "https://arxiv.org/pdf/2609.37804",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3jq1xvwt94gwy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.37804",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37804"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Invariance of plurigenera for Kähler families with nef canonical bundles",
  "title_text": "Invariance of plurigenera for Kähler families with nef canonical bundles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/3jq1xvwt94gwy",
  "venue": "arXiv",
  "versions": []
}