{
  "abstract": "In this paper we investigate three types of entropy that frequently appear in the research of Kähler geometry: the classical Kähler entropy, the radial entropy and the non-Archimedean entropy. We give a unifying interpretation for these entropies by showing that they can all be expressed as the derivative of the Monge--Ampère energy along certain Aubin--Yau type deformations. Such considerations also lead to a novel algebraic criterion for the existence of constant scalar curvature Kähler metrics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21198",
  "author_total": 2,
  "authors": [
    {
      "name": "Tamás Darvas"
    },
    {
      "name": "Kewei Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/97b5mzvbkad7b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21198",
  "fulltext_url": null,
  "id": "97b5mzvbkad7b",
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  "landing_url": "https://arxiv.org/abs/2610.21198",
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  "native_subjects": [
    [
      "arxiv",
      "math.AG"
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      "arxiv",
      "math.CV"
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      "math.DG"
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  "pdf_url": "https://arxiv.org/pdf/2610.21198",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/97b5mzvbkad7b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21198",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21198"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Understanding entropy using Aubin--Yau deformations",
  "title_text": "Understanding entropy using Aubin--Yau deformations",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/97b5mzvbkad7b",
  "venue": "arXiv",
  "versions": []
}