Totally invariant subvarieties of $\mathbf P^n$

Yujie Luo, Sheng Meng

Source record

Source: arXiv

Published: Oct 7, 2026

arXiv: 2610.10103

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Source abstract

Let $f:\mathbf P^n_{\mathbb C}\to\mathbf P^n_{\mathbb C}$ be an endomorphism of degree greater than one. We prove that every irreducible Zariski closed subset $V$ with $f^{-1}(V)=V$ is a linear subspace.

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