{
  "abstract": "We prove a parabolic Bogomolov--Gieseker inequality for stable regular parabolic Higgs sheaves on a compact Kähler manifold \\((X,ω)\\) equipped with a simple normal crossing divisor \\(D\\). We also prove that a polystable regular parabolic Higgs sheaf admits a pluriharmonic metric on \\(X\\setminus D\\), provided that each stable summand has parabolic degree zero and vanishing integrated second parabolic Chern character.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.23787",
  "author_total": 2,
  "authors": [
    {
      "name": "Tianshu Jiang"
    },
    {
      "name": "Jiayu Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2j76qh3fnm38k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.23787",
  "fulltext_url": null,
  "id": "2j76qh3fnm38k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.23787",
  "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": "W7204228034",
  "pdf_url": "https://arxiv.org/pdf/2608.23787",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2j76qh3fnm38k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2608.23787",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.23787"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Parabolic Bogomolov--Gieseker Inequality and Pluriharmonic Metrics on Regular Parabolic Higgs Sheaves over Compact Kähler Manifolds",
  "title_text": "Parabolic Bogomolov--Gieseker Inequality and Pluriharmonic Metrics on Regular Parabolic Higgs Sheaves over Compact Kähler Manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/2j76qh3fnm38k",
  "venue": "arXiv",
  "versions": []
}