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arXiv · 1609.09465

A rigidity result for some parabolic germs

Luna Lomonaco·Sabyasachi Mukherjee
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Abstract

The goal of this article is to prove a rigidity result for unicritical polynomials with parabolic cycles. More precisely, we show that if two unicritical polynomials have conformally conjugate parabolic germs, then the polynomials are affinely conjugate.

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Luna Lomonaco, Sabyasachi Mukherjee. 2016-09-29. A rigidity result for some parabolic germs. https://doi.org/10.1512/iumj.2018.67.7459

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