Local class field theory via Lubin-Tate theory

Details Local class field theory via Lubin-Tate theory Local class field theory via Lubin-Tate theory

2006-06-05

arxiv.org/abs/math/0606108v2

Mathematics

Number Theory

21 pages

Scientific paper

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))

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