PreprintCC BY 4.0arXiv
Complex Analytic Structure of Hybrid Classes of Generalized Polynomial-like Mappings
Abstract
In this paper, we study hybrid classes of generalized polynomial-like mappings. We show that locally they are complex analytic submanifolds with finite codimension equal to the total order of critical points in the filled Julia set (counting multiplicity).
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BibTeX
@misc{lin2026complex,
title = {{Complex Analytic Structure of Hybrid Classes of Generalized Polynomial-like Mappings}},
author = {Miaokeyan Lin and Weixiao Shen and Yimin Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.25983},
eprint = {2610.25983},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.25983},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Complex Analytic Structure of Hybrid Classes of Generalized Polynomial-like Mappings
AU - Miaokeyan Lin
AU - Weixiao Shen
AU - Yimin Wang
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.25983
UR - https://arxiv.org/abs/2610.25983
AB - In this paper, we study hybrid classes of generalized polynomial-like mappings. We show that locally they are complex analytic submanifolds with finite codimension equal to the total order of critical points in the filled Julia set (counting multiplicity).
ER -