{
  "abstract": "We prove that on a compact locally flat HKT manifold the quaternionic Monge--Ampère equation always has a unique continuous solution. This provides new evidence for the Conjecture of Alesker and Verbitsky.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21528",
  "author_total": 3,
  "authors": [
    {
      "name": "Giovanni Gentili"
    },
    {
      "name": "Antonio Trusiani"
    },
    {
      "name": "Luigi Vezzoni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6w7my51gthek8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21528",
  "fulltext_url": null,
  "id": "6w7my51gthek8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21528",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7213886903",
  "pdf_url": "https://arxiv.org/pdf/2609.21528",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6w7my51gthek8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.21528",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21528"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Continuous solutions to the quaternionic Monge-Ampère equation on locally flat HKT manifolds",
  "title_text": "Continuous solutions to the quaternionic Monge-Ampère equation on locally flat HKT manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/6w7my51gthek8",
  "venue": "arXiv",
  "versions": []
}