Dynamically improper hypersurfaces for endomorphisms of projective space

2022/06/21 by Olechnowicz, Matt
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.10679

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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