{
  "abstract": "Let $S$ be a Kato surface and $D$ its maximal reduced divisor of rational curves. On $S\\setminus D$ we construct Hermitian metrics which are flat along the leaves of the canonical foliation and study their evolution under the Chern-Ricci flow. For Enoki surfaces, we construct an immortal normalised solution which, on every compact sublevel of the natural exhaustion, converges in the Gromov-Hausdorff sense to the elliptic base endowed with an explicit flat metric. For Kato surfaces of intermediate type, the affine Green model and its finite-index extension give, under the assumption $0<μ<2$, an explicit normalised solution which, on every compact Green block, collapses in the Gromov-Hausdorff sense to a circle. In the Enoki case the limiting area is $2πb_2(S)$; in the intermediate case the length of the limiting circle is determined by the Green and leafwise monodromies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18579",
  "author_total": 2,
  "authors": [
    {
      "name": "Daniele Angella"
    },
    {
      "name": "Mauricio Corrêa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bpp4bjc7fen43.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18579",
  "fulltext_url": null,
  "id": "bpp4bjc7fen43",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18579",
  "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.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7213492682",
  "pdf_url": "https://arxiv.org/pdf/2609.18579",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bpp4bjc7fen43.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18579",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18579"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Chern-Ricci flow on Kato surfaces",
  "title_text": "Chern-Ricci flow on Kato surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/bpp4bjc7fen43",
  "venue": "arXiv",
  "versions": []
}