{
  "abstract": "We study both the complex and Hermitian geometry of C-spaces, i.e., compact homogeneous spaces M=G/K admitting a G-invariant complex structure. Some results on Hodge, Bott-Chern and Aeppli cohomologies are given. We also prove classification results in the pluriclosed, parallel Bismut torsion and locally conformally Kähler (or Vaisman) cases, respectively, as well as existence results for balanced and Calabi-Yau with torsion metrics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30747",
  "author_total": 1,
  "authors": [
    {
      "name": "Jorge Lauret"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/33nxtbbkxdmqk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30747",
  "fulltext_url": null,
  "id": "33nxtbbkxdmqk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30747",
  "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.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7204892037",
  "pdf_url": "https://arxiv.org/pdf/2608.30747",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/33nxtbbkxdmqk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2608.30747",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30747"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Compact homogeneous complex manifolds",
  "title_text": "Compact homogeneous complex manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/33nxtbbkxdmqk",
  "venue": "arXiv",
  "versions": []
}