{
  "abstract": "Algebraic genericity in the family of polynomial counterexamples to the recently solved Jacobian Conjecture for $N\\ge3$ is investigated. The notion of affine-coneability is introduced and it is shown that this family is affine-coneable and 1-lineable, but not 2-lineable. Semigroupability is further studied with respect to coordinatewise multiplication and composition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03572",
  "author_total": 3,
  "authors": [
    {
      "name": "L. Bernal-González"
    },
    {
      "name": "M. C. Calderón-Moreno"
    },
    {
      "name": "J. A. Prado-Bassas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4kwza3jgttdyx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03572",
  "fulltext_url": null,
  "id": "4kwza3jgttdyx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03572",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
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      "arxiv",
      "math.CA"
    ],
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      "arxiv",
      "math.FA"
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03572",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4kwza3jgttdyx.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03572",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03572"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Counterexamples to the Jacobian Conjecture from the viewpoint of lineability",
  "title_text": "Counterexamples to the Jacobian Conjecture from the viewpoint of lineability",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/4kwza3jgttdyx",
  "venue": "arXiv",
  "versions": []
}