论文标题

动态的不当曲面,用于投影空间的内态性

Dynamically improper hypersurfaces for endomorphisms of projective space

论文作者

Olechnowicz, Matt

论文摘要

我们介绍了对前诊断概念的新概括,并探讨了其一些基本后果。我们还证明,在投影空间的非线性内态中,具有周期性关键点的那些是Zariski密集的。这回答了英格拉姆的问题。

We introduce a new generalization of the notion of preperiodic hypersurface and explore some of its basic ramifications. We also prove that among nonlinear endomorphisms of projective space, those with a periodic critical point are Zariski dense. This answers a question of Ingram.

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