We give a self-contained exposition of local class field theory, via Lubin-Tate theory and the Hasse-Arf theorem, refining the arguments of Iwasawa [9].
Nous présentons une démonstration complète de la théorie du corps de classes locale via la théorie de Lubin-Tate et le théorème de Hasse-Arf, en raffinant des arguments d’Iwasawa [9].
@article{AFST_2008_6_17_2_411_0,
author = {Teruyoshi Yoshida},
title = {Local {Class} {Field} {Theory} via {Lubin-Tate} {Theory}},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {411--438},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 17},
number = {2},
year = {2008},
doi = {10.5802/afst.1188},
mrnumber = {2487860},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1188/}
}
TY - JOUR AU - Teruyoshi Yoshida TI - Local Class Field Theory via Lubin-Tate Theory JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2008 SP - 411 EP - 438 VL - 17 IS - 2 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1188/ DO - 10.5802/afst.1188 LA - en ID - AFST_2008_6_17_2_411_0 ER -
%0 Journal Article %A Teruyoshi Yoshida %T Local Class Field Theory via Lubin-Tate Theory %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2008 %P 411-438 %V 17 %N 2 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1188/ %R 10.5802/afst.1188 %G en %F AFST_2008_6_17_2_411_0
Teruyoshi Yoshida. Local Class Field Theory via Lubin-Tate Theory. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 17 (2008) no. 2, pp. 411-438. doi : 10.5802/afst.1188. https://afst.centre-mersenne.org/articles/10.5802/afst.1188/
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