{
  "abstract": "In this paper, we prove that every rationally connected projective manifold admits a smooth uniformly RC-positive Hermitian metric on its tangent bundle, answering Yang's question and giving a characterization of rational connectedness by uniform RC-positivity. We find an example to show that RC-positivity alone does not characterize rational connectedness. We also prove that uniform RC-positivity of the tangent bundle is preserved under blow-ups along connected smooth centers on compact complex manifolds. In the non-Kähler setting, we construct such metrics on all Hopf and Kato surfaces and obtain classification results for compact complex surfaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27556",
  "author_total": 3,
  "authors": [
    {
      "name": "Chenghao Qing"
    },
    {
      "name": "Hongzhao Sun"
    },
    {
      "name": "Xiangyu Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ejngg5bxy45fc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27556",
  "fulltext_url": null,
  "id": "ejngg5bxy45fc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27556",
  "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.AG"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
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  "openalex": "W7214239021",
  "pdf_url": "https://arxiv.org/pdf/2609.27556",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ejngg5bxy45fc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.27556",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27556"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Uniform RC-positivity of tangent bundles",
  "title_text": "Uniform RC-positivity of tangent bundles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/ejngg5bxy45fc",
  "venue": "arXiv",
  "versions": []
}