@inproceedings{a0af4dab419e4141bfb7fd223967e70c,
title = "Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof",
abstract = "In this paper we will give a short and elementary proof that critical relations unfold transversally in the space of rational maps.",
keywords = "Holomorphic dynamics, Rational maps, Transversality",
author = "Genadi Levin and Weixiao Shen and {van Strien}, Sebastian",
note = "Funding Information: Acknowledgements The authors thank Alex Eremenko for a discussion about Theorem 2.1,Adam Epstein for pointing out an error in the last paragraph of Sect. 5.1 in a previous version, Xavier Buff and Lasse Rempe-Gillen for helpful comments on the introduction of the final version of this paper and the referee for carefully reading the paper. This project was partly supported by the ISF grant no: 1226/17, ERC AdG grant no: 339523 RGDD and the NSFC grant no: 11731003. Funding Information: The authors thank Alex Eremenko for a discussion about Theorem 2.1, Adam Epstein for pointing out an error in the last paragraph of Sect. 5.1 in a previous version, Xavier Buff and Lasse Rempe-Gillen for helpful comments on the introduction of the final version of this paper and the referee for carefully reading the paper. This project was partly supported by the ISF grant no: 1226/17, ERC AdG grant no: 339523 RGDD and the NSFC grant no: 11731003. Publisher Copyright: {\textcopyright} The Author(s) 2019.; 70th Anniversary of Welington de Melo held at IMPA, 2016 ; Conference date: 14-11-2016 Through 17-11-2016",
year = "2019",
doi = "https://doi.org/10.1007/978-3-030-16833-9_11",
language = "English",
isbn = "9783030168322",
series = "Springer Proceedings in Mathematics and Statistics",
pages = "201--220",
editor = "Pacifico, {Maria Jos{\'e}} and Pablo Guarino",
booktitle = "New Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016",
}