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arXiv · 2607.03257

Lubin's conjecture for height-one $p$-adic dynamical systems

Martin Debaisieux
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Abstract

We prove Lubin's conjecture for height-one commuting pairs of formal power series defined over the ring of integers $\mathcal{O}$ of any finite extension of $\mathbb{Q}_p$. Using some $p$-adic Hodge theory, we show that such a pair is a pair of endomorphisms of a formal group defined over $\mathcal{O}$.

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Martin Debaisieux. 2026-07-03. Lubin's conjecture for height-one $p$-adic dynamical systems. https://arxiv.org/abs/2607.03257

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