An approach to higher ramification theory
نویسندگان
چکیده
Let K be an n-dimensional local field, L/K a finite abelian extension. Define a filtration on Gal(L/K) (cf. [H], [F, sect. 4]) by Gal(L/K) = Υ L/K(UiK top n (K) +NL/KK top n (L)/NL/KK top n (L)), i ∈ Z n + , where UiK top n (K) = {Ui} ·K top n−1(K), Ui = 1 + PK(i), Υ L/K :K top n (K)/NL/KK top n (L) →̃ Gal(L/K) is the reciprocity map. Then for a subextension M/K of L/K Gal(M/K) = Gal(L/K) Gal(L/M )/Gal(L/M )
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تاریخ انتشار 2008