Teruyoshi Yoshida
Published 2006-06-05, updated 2008-10-13Version 2
We give a self-contained proof of local class field theory, via Lubin-Tate theory and the Hasse-Arf theorem, refining the arguments of Iwasawa's book. In the revised version, (i) positive characteristic case is included, (ii) the proof of base change is simplified, (iii) the construction of Artin map is simplified, and strengthened so that we start with an arbitrary Lubin-Tate group over complete maximal unramified extension. (to appear in Annales de la Faculte des Sciences de Toulouse, 17-2 (2008))
A refinement of the local class field theory of Serre and Hazewinkel
Cohomology of p-adic fields and Local class field theory
On an explicit reciprocity law in local class field theory via $(\varphi, Γ)$-modules
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