{
  "abstract": "Let $p:X\\rightarrowΔ$ be a proper holomorphic submersion whose total space $X$ is a Kähler manifold. We prove that $\\dim_{\\mathbb C}H^0(X_t,mK_{X_t})$ is independent of $t$ for every integer $m\\geq1$. This was conjectured by Y.-T. Siu in 2002.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07826",
  "author_total": 4,
  "authors": [
    {
      "name": "Yinji Li"
    },
    {
      "name": "Mihai Păun"
    },
    {
      "name": "Zhiwei Wang"
    },
    {
      "name": "Xiangyu Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2hb7a4mdvba8e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07826",
  "fulltext_url": null,
  "id": "2hb7a4mdvba8e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07826",
  "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": "W7220928044",
  "pdf_url": "https://arxiv.org/pdf/2610.07826",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2hb7a4mdvba8e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.07826",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07826"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Psh variation of singular Kähler-Einstein metrics and Invariance of plurigenera for smooth Kähler families",
  "title_text": "Psh variation of singular Kähler-Einstein metrics and Invariance of plurigenera for smooth Kähler families",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/2hb7a4mdvba8e",
  "venue": "arXiv",
  "versions": []
}