{
  "abstract": "We study the relationship between the integrals of Yuan's concave transforms and the characteristic volumes of adelic line bundles on projective varieties. We establish an identity in dimension one and an inequality in higher dimensions. These results yield counterexamples to an identity conjectured by Yuan.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23722",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuxing Ye"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/54v87g9t5nwaz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23722",
  "fulltext_url": null,
  "id": "54v87g9t5nwaz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23722",
  "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.NT"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7214018382",
  "pdf_url": "https://arxiv.org/pdf/2609.23722",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/54v87g9t5nwaz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.23722",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23722"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Concave transforms and volumes of adelic line bundles",
  "title_text": "Concave transforms and volumes of adelic line bundles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/54v87g9t5nwaz",
  "venue": "arXiv",
  "versions": []
}