{
  "abstract": "We study the behaviour of Hermitian-Einstein metrics on a holomorphic vector bundle over a compact Kähler manifold, as the underlying Kähler metric varies and its Kähler class changes. In particular, if the bundle stops being stable at some point, the Hermitian-Einstein metrics blow up, and their rescaling can be used to construct a destabilizing subsheaf, following the argument of Uhlenbeck and Yau. Furthermore, we study the behaviour of Chern connections of these metrics, and show, that after passing to a subsequence, and applying suitable gauge transforms these connections converge, and identify the blow-up locus of their Uhlenbeck limit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03025",
  "author_total": 1,
  "authors": [
    {
      "name": "Nikita Klemyatin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4w2ysc3gqb5d6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03025",
  "fulltext_url": null,
  "id": "4w2ysc3gqb5d6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03025",
  "language": null,
  "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.AP"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03025",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4w2ysc3gqb5d6.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03025",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03025"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Limiting properties of Hermitian-Einstein metrics under variation of the Kähler class",
  "title_text": "Limiting properties of Hermitian-Einstein metrics under variation of the Kähler class",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/4w2ysc3gqb5d6",
  "venue": "arXiv",
  "versions": []
}