Martin Lüdtke

collaborators

3 papers

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…

math.NT2024

Refined Chabauty--Kim computations for the thrice-punctured line over $Z [1/6]$

Martin LÃ¼dtke

The Chabauty--Kim method and its refined variant by Betts and Dogra aim to cut out the $S$ -integral points $X (Z_{S})$ on a curve inside the $p$ -adic points $X (Z_{p})$ …

Polylogarithmic Chabauty--Kim loci over number fields

The motivic Selmer scheme of the thrice-punctured line

Refined Chabauty--Kim computations for the thrice-punctured line over Z[1/6]

Refined Chabauty--Kim computations for the thrice-punctured line over $Z [1/6]$