S. Goodman

collaborators

2 papers

math.CV2025

Regular Functions on Formal-Analytic Arithmetic Surfaces

Samuel Goodman

In this paper, we show that for a broad class of pseudoconvex formal-analytic arithmetic surfaces over $Spec (Z)$ , those which admit a nonconstant monic such regular…

math.NT2025

On Galois Extensions of Local Fields with a Single Wild Ramification Jump

Samuel Goodman

For a given positive integer $n$ and $K / Q_{p}$ a finite extension of ramification degree $e$ , we determine the number of finite Galois extensions $L / K$ with inertia degree $…