Swan conductors on the boundary of Lubin-Tate spaces

TL;DR

This paper investigates the ramification invariants of Lubin-Tate spaces of dimension one at the boundary of the non-archimedean open unit disk, providing insights into their ramification behavior.

Contribution

It introduces a method to compute ramification invariants of Lubin-Tate spaces at the boundary, advancing understanding of their ramification structure.

Findings

Computed ramification invariants at the boundary of Lubin-Tate spaces.

Provided explicit descriptions of ramification behavior.

Enhanced understanding of the boundary ramification in non-archimedean geometry.

Abstract

Lubin-Tate spaces of dimension one are finite etale covers of the non-archimedian open unit disk. We compute certain invariants which measure the ramification of this cover over the boundary of the disk.