Local class field theory via Lubin-Tate theory
Number Theory
2008-10-13 v2
Abstract
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))
Keywords
Cite
@article{arxiv.math/0606108,
title = {Local class field theory via Lubin-Tate theory},
author = {Teruyoshi Yoshida},
journal= {arXiv preprint arXiv:math/0606108},
year = {2008}
}
Comments
21 pages