Published January 1, 2010 | Version v1
Journal article Open

Non-abelian local reciprocity law

  • 1. Yeditepe Univ, Dept Math, TR-34755 Istanbul, Turkey
  • 2. Gumus Sok, Gumus Pala Mahallesi, TR-34160 Istanbul, Turkey

Description

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.

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