Tim Gehrunger

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math.AG2025

The Classification of the Stable Marked Reduction of Genus 2 Curves in Residue Characteristic 2

Tim Gehrunger

Consider a hyperelliptic curve of genus $2$ over a field $K$ of characteristic zero. After extending $K$ we can view it as a marked curve with its $6$ Weierstrass points. We classi…

math.AG2025

Computing the Stable Reduction of Hyperelliptic Curves in Residue Characteristic 2

Tim Gehrunger

Consider a hyperelliptic curve of genus $g$ over a field $K$ of characteristic zero. After extending $K$ we can view it as a marked curve with its $2 g + 2$ Weierstrass points. We pro…