G. G. Elder

collaborators

2 papers

math.NT2025

Artin-Schreier-Witt extensions and ramification breaks

G. Griffith Elder, Kevin Keating

Let $K = k ((t))$ be a local field of characteristic $p > 0$ , with perfect residue field $k$ . Let $a = (a_{0}, a_{1}, \dots, a_{n - 1}) \in W_{n} (K)$ be a Witt vector of length $n$ . Artin-Schre…

math.NT2007

On the necessity of new ramification breaks

Nigel P. Byott, G. Griffith Elder

Ramification invariants are necessary, but not in general sufficient, to determine the Galois module structure of ideals in local number field extensions. This insufficiency is ass…