{
  "abstract": "In the paper, we classify all polynomial maps of the form $H=(u(x,y),\\allowbreak v(x,y,z),h(x,y,z))$ in the case that $JH$ is nilpotent and $°_zv\\geq 2°_zh$. Then we give the structure of $H=(u(x,y),v(x,y,z),h(x,y,z))$ if $JH$ is nilpotent and $°_zh\\leq 3$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.13843",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuan He"
    },
    {
      "name": "Dan Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/857z0pnezr223.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.13843",
  "fulltext_url": null,
  "id": "857z0pnezr223",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.13843",
  "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.AC"
    ],
    [
      "arxiv",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.13843",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/857z0pnezr223.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2609.13843",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.13843"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The classification of some polynomial maps in dimension three",
  "title_text": "The classification of some polynomial maps in dimension three",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/857z0pnezr223",
  "venue": "arXiv",
  "versions": []
}