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arXiv · 2611.06106

PCF All The Way Down

Taylor Dupuy·Alon Levy·Thomas Tucker·Zhuoran Wang
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Abstract

We prove that a finite surjective post-critically finite self-map of a variety in characteristic zero remains post-critically finite on every preperiodic integral effective divisor after passing to its periodic image with its return map. Iterating this result proves PCF all the way down. A detailed report on AI usage is contained in the manuscript.

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Taylor Dupuy, Alon Levy, Thomas Tucker, Zhuoran Wang. 2026-11-05. PCF All The Way Down. https://arxiv.org/abs/2611.06106

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