{
  "abstract": "Let $n$ and $N$ be integers with $2\\leq n<N$, and let $F:\\mathbb{B}^n\\to\\mathbb{B}^N$ be a proper holomorphic map that admits a $C^{N-n+1}$-smooth extension to the boundary. We prove that if the CR Gauss map of its boundary restriction is generically degenerate, then $F$ is holomorphically equivalent, under composition with automorphisms of the source and target balls, to $V_m\\oplus 0$ for some positive integer $m$, where $ V_m(z)=\\big(\\sqrt{\\frac{m!}{α!}} z^α\\big)_{|α|=m} $ is the degree-$m$ Veronese map. This resolves a problem posed by Xiaojun Huang.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06219",
  "author_total": 3,
  "authors": [
    {
      "name": "Tianzhi Hu"
    },
    {
      "name": "Wanke Yin"
    },
    {
      "name": "Pingsan Yuan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7p0va7qc6z6tp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06219",
  "fulltext_url": null,
  "id": "7p0va7qc6z6tp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06219",
  "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.CV"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7220664507",
  "pdf_url": "https://arxiv.org/pdf/2610.06219",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7p0va7qc6z6tp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06219",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06219"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Rigidity for proper holomorphic ball maps with degenerate CR Gauss map",
  "title_text": "Rigidity for proper holomorphic ball maps with degenerate CR Gauss map",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/7p0va7qc6z6tp",
  "venue": "arXiv",
  "versions": []
}