{
  "abstract": "We prove that the number of maximal complex totally geodesic submanifolds of a smooth finite-volume non-arithmetic ball quotient is bounded linearly by its volume, with a constant depending only on the complex dimension. This gives a quantitative strengthening of the finiteness theorems of Bader--Fisher--Miller--Stover (Invent. Math., 2023) and Baldi--Ullmo (Ann. of Math., 2023).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03514",
  "author_total": 2,
  "authors": [
    {
      "name": "Tianzhi Hu"
    },
    {
      "name": "Runze Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ftc4vf304amd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03514",
  "fulltext_url": null,
  "id": "0ftc4vf304amd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03514",
  "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.AG"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.DS"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03514",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0ftc4vf304amd.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03514",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03514"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Quantitative finiteness for maximal complex totally geodesic submanifolds of non-arithmetic ball quotients",
  "title_text": "Quantitative finiteness for maximal complex totally geodesic submanifolds of non-arithmetic ball quotients",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:12Z",
  "url": "https://research.draconitic.com/paper/0ftc4vf304amd",
  "venue": "arXiv",
  "versions": []
}