{
  "abstract": "Let $(M,ω)$ be a compact Hermitian manifold, and let $Γ$ be a symmetric convex cone. We develop a quantitative regularization method for $Γ$-admissible functions. As an application, we prove Hölder continuity for every pluripotential solution of complex $m$-Hessian equations whose right-hand sides belong to $L^p$, for $p>\\frac{n}{m}$. These results extend to a more general class of complex Hessian equations satisfying the structural condition used by Guo--Phong--Tong.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.15552",
  "author_total": 1,
  "authors": [
    {
      "name": "Yulun Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/38ea5as4a0swk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.15552",
  "fulltext_url": null,
  "id": "38ea5as4a0swk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.15552",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7203717670",
  "pdf_url": "https://arxiv.org/pdf/2608.15552",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/38ea5as4a0swk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2608.15552",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.15552"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Regularization and Hölder continuity for complex Hessian equations on Hermitian manifolds",
  "title_text": "Regularization and Hölder continuity for complex Hessian equations on Hermitian manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/38ea5as4a0swk",
  "venue": "arXiv",
  "versions": []
}