Abstract
The bifurcation sets of polynomial functions have been studied by many mathematicians from various points of view. In particular, Némethi and Zaharia described them in terms of Newton polytopes. In this paper, we will show analogous results for rational functions.
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Acknowledgements
We thank the anonymous referee for his/her helpful comments. The first author is funded by Mathematics Development Program - Vietnam Ministry of Education and Training under grant number B2020 - SPH - 03 CTTH. The second author is supported by JSPS KAKENHI Grant Number 20J00922.
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Nguyen, T.T., Saito, T. & Takeuchi, K. The bifurcation set of a rational function via Newton polytopes. Math. Z. 298, 899–916 (2021). https://doi.org/10.1007/s00209-021-02698-7
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DOI: https://doi.org/10.1007/s00209-021-02698-7