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arxiv: math/0012159 · v1 · submitted 2000-12-18 · 🧮 math.NT · math.AG

Invitation to higher local fields, Part II, section 9: Local reciprocity cycles

classification 🧮 math.NT math.AG
keywords localcyclesgaloismapsreciprocityarithmeticallydescriptionextensions
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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.

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