{
  "abstract": "In this article, we prove the existence of a sectorial transformation to a polynomial normal form a a non-degenerate 1-resonant biholomorphism in ${\\mathbb C}^n$ . We also give their holomorphic classification.",
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  "article_type": null,
  "arxiv": "2609.24695",
  "author_total": 2,
  "authors": [
    {
      "name": "Maxime Chatal"
    },
    {
      "name": "Laurent Stolovitch"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3ys16gmy9wdge.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24695",
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  "id": "3ys16gmy9wdge",
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  "landing_url": "https://hal.science/hal-05755110v2",
  "language": "en",
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  "pdf_url": "https://hal.science/hal-05755110/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3ys16gmy9wdge.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:37Z",
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      "url": "https://hal.science/hal-05755110v2"
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      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.24695",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24695"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
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  ],
  "title": "Sectorial normalisation of one resonant biholomorphisms near a fixed point",
  "title_text": "Sectorial normalisation of one resonant biholomorphisms near a fixed point",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/3ys16gmy9wdge",
  "venue": "HAL",
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}