{
  "abstract": "Building on the work of Song--Waldron~\\cite{SongWaldron2024}, we establish stronger regularity and refined blow-up analysis results for almost-holomorphic harmonic map flow from a closed surface into a compact Kähler manifold with nonnegative holomorphic bisectional curvature. At each finite-time singularity, we improve the outer energy scale to $O((T-t)/\\sqrt{|\\ln(T-t)|})$. We also prove that both the stress-energy tensor and the tension field converge strongly in $L^2$ to those of the body map, by ruling out concentration of their $L^2$ energy near the singular points. Consequently, the body map belongs to $W^{2,2}$. Finally, an explicit gap theorem for the antiholomorphic energy of nonholomorphic harmonic spheres yields an explicit admissible threshold for the initial antiholomorphic energy under which these conclusions hold.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34132",
  "author_total": 3,
  "authors": [
    {
      "name": "Yihan He"
    },
    {
      "name": "Ze Li"
    },
    {
      "name": "Chong Song"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3qnkygjpcf767.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34132",
  "fulltext_url": null,
  "id": "3qnkygjpcf767",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34132",
  "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",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7223943896",
  "pdf_url": "https://arxiv.org/pdf/2610.34132",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3qnkygjpcf767.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34132",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34132"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Refined analysis on finite-time singularities of almost-holomorphic harmonic map flow",
  "title_text": "Refined analysis on finite-time singularities of almost-holomorphic harmonic map flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/3qnkygjpcf767",
  "venue": "arXiv",
  "versions": []
}