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Transversality at Virtual Centers
Abstract
We consider the family of transcendental meromorphic functions with finitely many singular values, none of whose asymptotic values is infinity. We prove that transversality holds at any boundary point of a shell component in a dynamically natural slice of the parameter space at which an asymptotic value is a prepole.
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BibTeX
@misc{chen2026transversality,
title = {{Transversality at Virtual Centers}},
author = {Tao Chen and Yunping Jiang and Linda Keen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28433},
eprint = {2610.28433},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28433},
}
RIS
TY - UNPB
TI - Transversality at Virtual Centers
AU - Tao Chen
AU - Yunping Jiang
AU - Linda Keen
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28433
UR - https://arxiv.org/abs/2610.28433
AB - We consider the family of transcendental meromorphic functions with finitely many singular values, none of whose asymptotic values is infinity. We prove that transversality holds at any boundary point of a shell component in a dynamically natural slice of the parameter space at which an asymptotic value is a prepole.
ER -