PreprintCC BY-NC-ND 4.0HAL
Sectorial normalisation of one resonant biholomorphisms near a fixed point
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 ℂn . We also give their holomorphic classification.
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BibTeX
@misc{chatal2026sectorial,
title = {{Sectorial normalisation of one resonant biholomorphisms near a fixed point}},
author = {Maxime Chatal and Laurent Stolovitch},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24695},
eprint = {2609.24695},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05755110v2},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Sectorial normalisation of one resonant biholomorphisms near a fixed point
AU - Maxime Chatal
AU - Laurent Stolovitch
PY - 2026
DA - 2026/09/22
PB - HAL
DO - 10.48550/arxiv.2609.24695
UR - https://hal.science/hal-05755110v2
AB - In this article, we prove the existence of a sectorial transformation to a polynomial normal form a a non-degenerate 1-resonant biholomorphism in ℂ^n . We also give their holomorphic classification.
ER -