Dynamically improper hypersurfaces for endomorphisms of projective space
Dynamical Systems
2023-07-27 v4
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.
Keywords
Cite
@article{arxiv.2206.10679,
title = {Dynamically improper hypersurfaces for endomorphisms of projective space},
author = {Matt Olechnowicz},
journal= {arXiv preprint arXiv:2206.10679},
year = {2023}
}
Comments
v4: 15 pages, reorganized; accepted to PAMS