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math.NT2026
Defining reduction types of curves via minimal regular and minimal normal crossings models
Jakab Schrettner
We propose a definition of the reduction type of a curve over a discretely valued field in terms of the special fibre of an arbitrary regular model. We show that under this definit…
math.NT2025
Local constancy of reduction type and related invariants for curves in -adic families
Jakab Schrettner
We investigate the behaviour of the reduction type and related invariants of curves in families of curves over a discretely valued field. By a family, we will mean a set of curves…