3 papers
math.AG2026
Hyperelliptic Stable Curves
Max Schwegele
We provide an intrinsic characterization of hyperelliptic stable curves of genus , independent of admissible covers or auxiliary moduli data. A stable curve is hyperellip…
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.AG2025
Semistable Reduction of Plane Quartics
Max Schwegele
The Stable Reduction Theorem guarantees that any smooth, projective, geometrically irreducible curve of genus over a discretely valued field admits a unique stable model…