paper

On Lubin-Tate regulator maps and Kato's explicit reciprocity law

arXiv:2412.12429

Abstract

We extend the interpolation property of the Lubin-Tate regulator map from [SV24] to Artin characters and show a reciprocity law in the sense of Cherbonnier-Colmez. This allows us to provide a new proof of Kato's explicit reciprocity law for Lubin-Tate formal groups.

47 pages