{
  "abstract": "Let $X$ be a compact Kähler manifold, let $D=\\sum_iD_i$ be a simple normal crossing divisor, and fix $β_i\\in(0,1)$. We introduce a parabolic structure $TX_*$ on $TX$, given along each $D_i$ by the filtration $0\\subset TD_i\\subset TX|_{D_i}$ with weight $w_i=1-β_i$ on the normal quotient. If $X\\setminus D$ carries a Kähler--Einstein metric $ω$ with cone angle $2πβ_i$ along $D_i$, we show that $TX_*$ is parabolic polystable with respect to $[ω]$. When the Einstein constant $λ$ is non-zero, we introduce parabolic structures on the Tian extension ($λ>0$) and on Simpson's canonical Higgs bundle ($λ<0$), and prove that these are polystable too. Combined with the Bogomolov--Gieseker inequality for parabolic bundles, this yields a Miyaoka--Yau inequality for these pairs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24597",
  "author_total": 1,
  "authors": [
    {
      "name": "Martin de Borbon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/846aphraqpqg3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24597",
  "fulltext_url": null,
  "id": "846aphraqpqg3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24597",
  "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": "W7214040550",
  "pdf_url": "https://arxiv.org/pdf/2609.24597",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/846aphraqpqg3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.24597",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24597"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Kähler-Einstein cone metrics and parabolic bundles",
  "title_text": "Kähler-Einstein cone metrics and parabolic bundles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/846aphraqpqg3",
  "venue": "arXiv",
  "versions": []
}