J. Koenigsmann

collaborators

3 papers

math.NT2026

An elementary proof of the local Kronecker-Weber theorem

Jochen Koenigsmann, Benedikt Stock

We will present a novel elementary, self-contained, and explicit proof of the local Kronecker-Weber theorem. Apart from discrete valuation theory, it does not make use of any tools…

math.NT2026

The Galois characterisation of $p$ -adically closed fields -- A modern perspective

Leo Gitin, Jochen Koenigsmann, Benedikt Stock

In 1927, Artin and Schreier showed that a field is real closed if and only if its absolute Galois group has order two. Inspired by this characterisation and drawing on earlier work…

math.NT2024

Recovering p-adic valuations from pro-p Galois groups

Jochen Koenigsmann, Kristian Strommen

Let $K$ be a field with $G_{K} (2) ≃ G_{Q} (2)$ , where $G_{F} (2)$ denotes the maximal pro-2 quotient of the absolute Galois group of a field $F$ . We prove that then $K$ adm…

An elementary proof of the local Kronecker-Weber theorem

The Galois characterisation of p-adically closed fields -- A modern perspective

Recovering p-adic valuations from pro-p Galois groups

The Galois characterisation of $p$ -adically closed fields -- A modern perspective