Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part II, section 9, pages 293-298.

Local reciprocity cycles

I. Fesenko

Abstract. This is an introduction to noncommutative local reciprocity maps for totally ramified Galois extensions with arithmetically profinite group. These maps in general are not homomorphisms but Galois cycles; a description of their image and kernel is included.
Keywords. Local reciprocity cycles.
AMS subject classification. 11S99.

E-print: arXiv:math.NT/0012159

Ivan Fesenko
Department of mathematics, University of Nottingham, Nottingham, NG7 2RD UK

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