Jeffrey Yelton

activity

20242026

collaborators

5 papers

math.AG2026

Clusters, toric ranks, and 2-ranks of hyperelliptic curves in the wild case

Leonardo Fiore, Jeffrey Yelton

Given a Galois cover $Y \to X$ of smooth projective geometrically connected curves over a complete discrete valuation field $K$ with algebraically closed residue field, we define a…

math.AG2025

A cluster criterion for potential degeneracy of superelliptic curves

Jeffrey Yelton

Let $K$ be a field with a discrete valuation; let $p$ be a prime; and let $C$ be the curve defined by an equation of the form $y^{p} = f (x)$ . We show that the curve $C$ has a model o…

math.NT2025

Split degenerate superelliptic curves and $ℓ$ -adic images of inertia

Jeffrey Yelton

Let $K$ be a field with a discrete valuation, and let $p$ and $ℓ$ be (possibly equal) primes which are not necessarily different from the residue characteristic. Given a superel…

math.NT2024

Branch points of split degenerate superelliptic curves II: on a conjecture of Gerritzen and van der Put

Jeffrey Yelton

Let $K$ be a field with a discrete valuation, and let $p$ be a prime. It is known that if $I^ ⊲ I^_{0} < PGL_{2} (K)$ is a Schottky group normally contained in a larger group…

math.NT2024

Branch points of split degenerate superelliptic curves I: construction of Schottky groups

Jeffrey Yelton

Let $K$ be a field with a discrete valuation, and let $p$ be a prime. It is known that if $I^ ⊲ I^_{0} < PGL_{2} (K)$ is a Schottky group normally contained in a larger group…

Clusters, toric ranks, and 2-ranks of hyperelliptic curves in the wild case

A cluster criterion for potential degeneracy of superelliptic curves

Split degenerate superelliptic curves and ℓ-adic images of inertia

Branch points of split degenerate superelliptic curves II: on a conjecture of Gerritzen and van der Put

Branch points of split degenerate superelliptic curves I: construction of Schottky groups

Split degenerate superelliptic curves and $ℓ$ -adic images of inertia