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arXiv · 2206.10679

Dynamically improper hypersurfaces for endomorphisms of projective space

Matt Olechnowicz
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Abstract

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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Matt Olechnowicz. 2022-06-21. Dynamically improper hypersurfaces for endomorphisms of projective space. https://arxiv.org/abs/2206.10679

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