{
  "abstract": "In this follow-up to \\cite{Sua25}, we extend the results to the coupled anomaly flow which incorporates the evolution of a Hermitian metric on a holomorphic vector bundle over a compact complex $3$-fold with general slope parameter $α'$. This yields a similar sufficient smallness condition on the slope parameter $α'$ in order to extend the flow on $[0, τ)$ to $[0, τ+ ε)$. We also augment the argument of \\cite{Sua25} slightly to fix the peculiarity of the units in the condition for $α'$ for the $k = 1$ case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15009",
  "author_total": 1,
  "authors": [
    {
      "name": "Caleb Suan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6bt35djtrv46e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15009",
  "fulltext_url": null,
  "id": "6bt35djtrv46e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15009",
  "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": "W7221833420",
  "pdf_url": "https://arxiv.org/pdf/2610.15009",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6bt35djtrv46e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15009",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15009"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Anomaly Flow II: Estimates and Long-time Existence for the Coupled Flow",
  "title_text": "Anomaly Flow II: Estimates and Long-time Existence for the Coupled Flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/6bt35djtrv46e",
  "venue": "arXiv",
  "versions": []
}