Explicit local reciprocity for tame extensions

Details Explicit local reciprocity for tame extensions Explicit local reciprocity for tame extensions

2010-01-13

arxiv.org/abs/1001.2233v1

Mathematics

Number Theory

31 pages

Scientific paper

We consider a tamely ramified abelian extension of local fields of degree n,
without assuming the presence of the nth roots of unity in the base field. We
give an explicit formula which computes the local reciprocity map in this
situation.

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