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math.AG2025
A cluster criterion for potential degeneracy of superelliptic curves
Jeffrey Yelton
Let be a field with a discrete valuation; let be a prime; and let be the curve defined by an equation of the form . We show that the curve has a model o…
math.NT2025
Split degenerate superelliptic curves and -adic images of inertia
Jeffrey Yelton
Let be a field with a discrete valuation, and let and be (possibly equal) primes which are not necessarily different from the residue characteristic. Given a superel…