{
  "abstract": "We prove that every stable atomic (twisted) vector bundle on a projective hyper-Kähler manifold is 1-obstructed. In the appendix, we construct a simple atomic object that is not 1-obstructed, providing a counterexample to Beckmann's conjecture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20213",
  "author_total": 1,
  "authors": [
    {
      "name": "Hanfei Guo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e2b77xvb8h5ec.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20213",
  "fulltext_url": null,
  "id": "e2b77xvb8h5ec",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20213",
  "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.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7221970821",
  "pdf_url": "https://arxiv.org/pdf/2610.20213",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e2b77xvb8h5ec.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.20213",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20213"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Stable atomic vector bundles are 1-obstructed",
  "title_text": "Stable atomic vector bundles are 1-obstructed",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/e2b77xvb8h5ec",
  "venue": "arXiv",
  "versions": []
}