{
  "abstract": "We extend the tangency construction of López de Medrano, Verjovsky and Meersseman from diagonal abelian actions to non-abelian Samelson groups. For these groups the tangency locus is a moment-map zero set: the commutator term in the leafwise Hessian vanishes there, and under an admissibility hypothesis, Kempf--Ness convexity gives a global transversal whose projectivization is a compact complex manifold. The construction includes compact rotation groups and groups with non-closed central rotations. In the latter setting we construct explicit families of complex dimension $2m-3$, $m\\geq5$, which are $4$-connected and admit no symplectic form. Their meromorphic function fields are rational of transcendence degree $m-2$, although every holomorphic map to a projective space is constant. We compute their connected automorphism groups and show that they admit no maximal torus action. They are Hopf-surface bundles over compact complex quotients of stable Grassmannian loci; these bases give related examples already in complex dimension five. The families demonstrate that the non-abelian tangency construction reaches beyond compact complex manifolds with maximal torus actions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25368",
  "author_total": 1,
  "authors": [
    {
      "name": "José Seade"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2pqy6xnxykad0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25368",
  "fulltext_url": null,
  "id": "2pqy6xnxykad0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25368",
  "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": "W7223033981",
  "pdf_url": "https://arxiv.org/pdf/2610.25368",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2pqy6xnxykad0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25368",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25368"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Non-abelian LVM manifolds}",
  "title_text": "Non-abelian LVM manifolds}",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/2pqy6xnxykad0",
  "venue": "arXiv",
  "versions": []
}