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arXiv · 2401.02005

Parabolic bifurcation loci in the spaces of rational functions

Yûsuke Okuyama
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Abstract

We give a geometric description of the parabolic bifurcation locus in the space $\operatorname{Rat}_d$ of all rational functions on $\mathbb{P}^1$ of degree $d>1$, generalizing the study by Morton and Vivaldi in the case of monic polynomials. The results are new even for quadratic rational functions.

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BibTeXRIS

Yûsuke Okuyama. 2024-01-04. Parabolic bifurcation loci in the spaces of rational functions. https://doi.org/10.1088/1361-6544/ac8041

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