Martin Lüdtke

collaborators

3 papers

math.NT2026

Nonabelian Chabauty for the Thrice-punctured Line over Cyclotomic Fields

Minhyong Kim, Xiang Li, Martin Lüdtke

In this paper we study the motivic Chabauty--Kim method, which aims to determine the set of $S$ -integral points of $P^{1} ∖ {0, 1, \infty}$ , over cyclotomic fiel…

math.NT2026

Polylogarithmic Chabauty--Kim loci over number fields

Xiang Li, Martin Lüdtke

We study polylogarithmic Chabauty--Kim loci for $S$ -integral points on $P^{1} ∖ {0, 1, \infty}$ over number fields. We compare motivic and étale Selmer schemes, d…

math.NT2026

The motivic Selmer scheme of the thrice-punctured line

Martin Lüdtke

Let $X = P^{1} ∖ {0, 1, \infty}$ be the thrice-punctured over a ring of $S$ -integers $O_{K, S}$ in a number field~ $K$ . For any quotient $π_1^{\mathrm{m…