Dergi makalesi Açık Erişim

Non-abelian local reciprocity law

2010    Ikeda, K. Ilhan; Serbest, Erol

Following our work on the generalized Fesenko reciprocity map, we construct the non-abelian local reciprocity map Phi((phi))(K) of a local field K as a certain isomorphism from the absolute Galois group G(K) of K onto a topological group del((phi))(K,Y) whose definition involves Fontaine-Wintenberger theory of field of norms, and build the non-abelian local class field theory over K in the sense of Fesenko and Koch.