论文标题

$ \ mathbb {c}^2 $上的多项式层压

Newhouse Laminations of polynomials on $\mathbb{C}^2$

论文作者

Martens, Marco, Palmisano, Liviana, Tao, Zhuang

论文摘要

最近已经发现,在具有排名一号的同层次相切的地图的平滑展开中,有两个无限很多下沉的地图的层压层。实际上,这些称为Newhouse层压板的层压也出现在尸体形态背景下。在$ \ mathbb {c}^2 $的多项式空间中,有界限,有新的层压板。

It has been recently discovered that in smooth unfoldings of maps with a rank-one homoclinic tangency there are codimension two laminations of maps with infinitely many sinks. Indeed, these laminations, called Newhouse laminations, occur also in the holomorphic context. In the space of polynomials of $\mathbb{C}^2$, with bounded degree, there are Newhouse laminations.

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