{
  "abstract": "The Russell cubic threefold is the hypersurface $\\mathcal X\\subset\\mathbb A^4_{\\mathbb C}$ defined by $x^2y+z^2+x+t^3=0$. We prove that its cylinder $\\mathcal X\\times\\mathbb A^1$ is flexible. More precisely, after replacing its standard embedding in $\\mathbb A^5$ by an equivalent one, we construct four explicit algebraic $\\mathbb G_a$-actions on the ambient affine space whose restrictions generate a group acting transitively on the cylinder.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14090",
  "author_total": 1,
  "authors": [
    {
      "name": "Pierre-Marie Poloni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e45pxzn0g79mx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14090",
  "fulltext_url": null,
  "id": "e45pxzn0g79mx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14090",
  "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"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7213273413",
  "pdf_url": "https://arxiv.org/pdf/2609.14090",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e45pxzn0g79mx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2609.14090",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14090"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The cylinder over the Russell cubic threefold is flexible",
  "title_text": "The cylinder over the Russell cubic threefold is flexible",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/e45pxzn0g79mx",
  "venue": "arXiv",
  "versions": []
}