Explicit Reciprocity Law for Lubin-Tate Formal Groups

摘要

In this article, using Fontaine's ΦΓ-module theory, we give a new proof of Coleman's explicitreciprocity law, which generalizes that of Artin-Hasse, Iwasawa and Wiles, by giving a complete formulafor the norm residue symbol on Lubin-Tate groups. The method used here is different from the classicalones and can be used to study the Iwasawa theory of crystalline representations.