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Cross-sections of the multicorns

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Abstract

For each integer \(d\ge 2\), we identify the intersections of the connectedness locus of \(\overline{z}^{d}+c\) with the rays \(\omega \mathbb {R}^{+}\), where \(\omega ^{d+1}=\pm 1\).

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Acknowledgements

The author would like to thank Fei Yang for his comments, remarks and careful reading of the text. Part of this work was supported by the National Natural Science Foundation of China (Grant No. 11801305). He would also like to thank the referee for helpful comments.

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Correspondence to Xiuming Zhang.

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Communicating Editor: Kaushal Verma

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Zhang, X. Cross-sections of the multicorns. Proc Math Sci 129, 28 (2019). https://doi.org/10.1007/s12044-019-0469-9

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  • DOI: https://doi.org/10.1007/s12044-019-0469-9

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