Outputs (2)

Skeletal filtrations of the fundamental group of a non-archimedean curve (2023)
Journal Article
Helminck, P. A. (2023). Skeletal filtrations of the fundamental group of a non-archimedean curve. Advances in Mathematics, 431, Article 109242. https://doi.org/10.1016/j.aim.2023.109242

In this paper we study skeleta of residually tame coverings of a marked curve over a non-archimedean field. We first prove a simultaneous semistable reduction theorem for residually tame coverings, which we then use to construct a tropicalization fun... Read More about Skeletal filtrations of the fundamental group of a non-archimedean curve.

Erratum for "Tropical superelliptic curves" (2023)
Journal Article
Brandt, M., & Helminck, P. A. (2023). Erratum for "Tropical superelliptic curves". Advances in Geometry, 23(1), 151-152. https://doi.org/10.1515/advgeom-2022-0029

We correct two errors in our paper Tropical superelliptic curves published in Advances in Geometry 20 (2020), 527–551. These corrections do not change the main results of the paper.