论文标题

立方多项式切片中的抛物线分量$ per_1(1)$

Parabolic Components in Cubic Polynomial Slice $Per_1(1)$

论文作者

Zhang, Runze

论文摘要

我们证明,通过适应\ cite {roesch1}中呈现的para-puzzzle的技术,Cubic多项式切片$ per_1(1)$中的每个抛物线分量的边界是Jordan曲线。我们还提供了有关连接的基因座$ \ MATHCAL {C} _1 $的全局描述:它是两个主要的抛物线组件的结合,以及在其边界上附加的四肢。

We prove that the boundary of every parabolic component in the cubic polynomial slice $Per_1(1)$ is a Jordan curve by adapting the technique of para-puzzles presented in \cite{Roesch1}. We also give a global description of the connected locus $\mathcal{C}_1$: it is the union of two main parabolic components and the limbs attached on their boundaries.

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