activity
20002026
most citedConductor and discriminant of Picard curves

12 citations · 75 across the 36 of their papers we have counts for

collaborators

37 papers

math.AG2026

Semistable reduction of smooth quartics

Max Schwegele, Kletus Stern, Stefan Wewers

We develop a method for computing stable reduction of smooth plane quartics over discretely valued fields, including residue characteristic p=2. The method uses the GIT-semistable…

math.AG2026

Explicit local stable resolution of cusps

Stefan Wewers

This article gives an explicit local stable resolution of cusps on GIT-stable plane quartic models. More generally, we consider a smoothing of an ordinary plane cusp over a complet…

math.AG2025

Models of hypersurfaces and Bruhat-Tits buildings

Kletus Stern, Stefan Wewers

We propose a new approach to constructing semistable integral models of hypersurfaces over a discretely valued complete field K. For each stable hypersurface X over K we define a c…

math.NT2023

Computing the Weil representation of a superelliptic curve

Irene I. Bouw, Duc Khoi Do, Stefan Wewers

We study the Weil representation of a curve over a -adic field with potential reduction of compact type. We show that can be reconstructed from its stable reduction. For…

math.AG2020

Integral differential forms for superelliptic curves

Sabrina Kunzweiler, Stefan Wewers

Given a superelliptic curve over a local field , we describe the theoretical background and an implementation of a new algorithm for computing the $\mathcal{O…

math.NT2019★ 12 cited

Conductor and discriminant of Picard curves

Irene I. Bouw, Angelos Koutsianas, Jeroen Sijsling +1

We describe normal forms and minimal models of Picard curves, discussing various arithmetic aspects of these. We determine all so-called special Picard curves over wit…