{
  "abstract": "We establish an a priori $C^2$-estimate for complex Hessian equations on compact Hermitian manifolds. As an application, we obtain a regularity result for solutions to complex Hessian equation with densities of the right hand side depending on the solution. This generalizes Székelyhidi--Tosatti's result to the setting of complex Hessian equations on Hermitian manifolds.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06719",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuetong Fang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/04xf5max34bjz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06719",
  "fulltext_url": null,
  "id": "04xf5max34bjz",
  "issns": [],
  "landing_url": "https://hal.science/hal-05781357v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-cv"
    ],
    [
      "hal",
      "1.math.math-dg"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7220746322",
  "pdf_url": "https://arxiv.org/pdf/2610.06719",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/04xf5max34bjz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:49Z",
      "native_id": "hal-05781357",
      "source": "hal",
      "url": "https://hal.science/hal-05781357v1"
    },
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06719",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06719"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds",
  "title_text": "Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/04xf5max34bjz",
  "venue": "HAL",
  "versions": []
}