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arXiv · 2604.08795

A Dynamical Lifting Problem For Additive Polynomials

Daniel Tedeschi
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Abstract

We introduce a dynamical analogue of the lifting problem for Galois covers of algebraic curves and find a negative solution for the collection of separable additive and semi-additive polynomials over $\overline{\mathbb{F}}_p$. We also explicitly compute the dimension of the space of linear conjugacy classes in $\mathcal{M}_{p^m}(\overline{\mathbb{F}}_p)$ which contain additive or semi-additive polynomials providing explicit counterexamples to Thurston Rigidity in positive characteristic.

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Daniel Tedeschi. 2026-04-09. A Dynamical Lifting Problem For Additive Polynomials. https://arxiv.org/abs/2604.08795

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