{
  "abstract": "For a polarized complex manifold with discrete automorphism group, it is known that if the first Chern class admits a cscK metric, then the balanced metrics, which are characterized in terms of the algebro-geometric notion of Chow stability, approximate this cscK metric. In this paper, we study a non-Archimedean analogue of this phenomenon. In particular, we prove that such an analogue holds for polarized totally degenerate abelian varieties. As an application, we also show that, for a totally degenerating family of polarized abelian varieties, the validity of this non-Archimedean analogue yields a uniform estimate for the Calabi--Yau metrics on fibers sufficiently close to the degenerate fiber.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.15758",
  "author_total": 1,
  "authors": [
    {
      "name": "Keita Goto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d3f9e22w4hamr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.15758",
  "fulltext_url": null,
  "id": "d3f9e22w4hamr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.15758",
  "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"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7164899082",
  "pdf_url": "https://arxiv.org/pdf/2606.15758",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d3f9e22w4hamr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2606.15758",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.15758"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Non-Archimedean balanced metrics and their application to totally degenerate abelian varieties",
  "title_text": "Non-Archimedean balanced metrics and their application to totally degenerate abelian varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/d3f9e22w4hamr",
  "venue": "arXiv",
  "versions": []
}