M. Debaisieux

collaborators

3 papers

math.NT2026

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

Martin Debaisieux

We prove Lubin's conjecture for height-one commuting pairs of formal power series defined over the ring of integers $O$ of any finite extension of $Q_{p}$ . Using s…

math.NT2026

Integrality of height-one formal groups

Martin Debaisieux

Let $K$ be a finite extension of $Q_{p}$ . We prove that a one-dimensional formal group law over $K$ has integral coefficients if and only if its multiplication-by- $n$ endomo…

math.NT2026

Lubin's conjecture for height-one $p$ -adic dynamical systems over cyclo-tame extensions

Martin Debaisieux

Let $K / Q_{p}$ be a finite extension whose ramification index is coprime to $p^{2} - p$ . We study height-one commuting pairs $(f, u)$ of noninvertible and invertible formal power…

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

Integrality of height-one formal groups

Lubin's conjecture for height-one p-adic dynamical systems over cyclo-tame extensions

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

Lubin's conjecture for height-one $p$ -adic dynamical systems over cyclo-tame extensions