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arXiv · 2610.12246

Postcritically finite endomorphisms II: Fatou sets

Ruiran Sun·Shengyuan Zhao
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Abstract

Let $f$ be a postcritically finite endomorphism of the complex projective space $\mathbb{P}^N$ of degree at least two. We prove that every Fatou component of $f$ is preperiodic to the basin of a superattracting periodic orbit.

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Ruiran Sun, Shengyuan Zhao. 2026-10-08. Postcritically finite endomorphisms II: Fatou sets. https://arxiv.org/abs/2610.12246

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