{
  "abstract": "A variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We show that a smooth Fano 3-fold not satisfying Condition (A) is K-polystable unless it is contained in eight exceptional deformation families (seven of them consist of one smooth member, and one of them has two-parameter moduli).",
  "abstract_shown": true,
  "affiliations": [
    "University of Nottingham, Nottingham, England.",
    "University of Edinburgh, Edinburgh, Scotland.",
    "Saitama University, Saitama, Japan.",
    "Aix Marseille University, CNRS, I2M, Marseille, France."
  ],
  "article_type": "research article",
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Hamid Abban",
      "orcid": "0000-0002-4260-3243"
    },
    {
      "affs": [
        1
      ],
      "name": "Ivan Cheltsov"
    },
    {
      "affs": [
        2
      ],
      "name": "Takashi Kishimoto"
    },
    {
      "affs": [
        3
      ],
      "name": "Frédéric Mangolte"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/278ecpye242c8.bib",
  "cited_by": 6,
  "doi": "10.1007/s00031-026-09977-9",
  "fulltext_url": "https://europepmc.org/articles/PMC13739991",
  "id": "278ecpye242c8",
  "issns": [
    "1531-586X"
  ],
  "landing_url": "https://europepmc.org/article/MED/42996768",
  "language": "eng",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W4415103394",
  "pdf_url": "https://europepmc.org/articles/PMC13739991?pdf=render",
  "pmcid": "PMC13739991",
  "pmid": "42996768",
  "published": "2026-07-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/278ecpye242c8.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T15:20:42Z",
      "native_id": "MED:42996768",
      "source": "europepmc",
      "url": "https://europepmc.org/article/MED/42996768"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometry and complex manifolds",
      "subfield": "geometry-topology"
    }
  ],
  "title": "K-stability of Fano 3-folds in the World of Null-A.",
  "title_text": "K-stability of Fano 3-folds in the World of Null-A.",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T15:20:42Z",
  "url": "https://research.draconitic.com/paper/278ecpye242c8",
  "venue": "Transformation groups",
  "versions": []
}