Transversality for critical relations of families of rational maps: an elementary proof

Genadi Levin; Weixiao Shen; Sebastian van Strien

doi:10.1007/978-3-030-16833-9_11

Transversality for critical relations of families of rational maps: an elementary proof

Dynamical Systems 2023-02-10 v3

Authors: Genadi Levin , Weixiao Shen , Sebastian van Strien

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Abstract

In this paper we will give a short and elementary proof that critical relations unfold transversally in the space of rational maps.

Keywords

rational maps critical relations transversality unfolding complex dynamics

Cite

@article{arxiv.1702.02582,
  title  = {Transversality for critical relations of families of rational maps: an elementary proof},
  author = {Genadi Levin and Weixiao Shen and Sebastian van Strien},
  journal= {arXiv preprint arXiv:1702.02582},
  year   = {2023}
}