参数空间中的一个逆着陆定理
A Converse Landing Theorem in Parameter Spaces
摘要:
在这篇文章中,我们证明了几个一维全纯族的全纯映射,在参数平面上,存在一个局部的一条曲线,土地在一个给定的抛物参数,在精神上著名的结果有关的二次和指数的家庭。我们还表明,在一定的假设下,这个一般结果部分回答的存在性和着陆问题的射线结构的参数平面的全纯族的超越整映射。
英文摘要:
In this article, we prove that for several one-dimensional holomorphic families of holomorphic maps, in the parameter plane, there exists a local piece of a curve that lands at a given parabolic parameter, in the spirit of well-known results about the quadratic and the exponential families. We also show that, under some assumptions, this general result partially answers the existence and landing questions of ray structures in the parameter planes for holomorphic families of transcendental entire maps.
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