English

Explicit local reciprocity for tame extensions

Number Theory 2010-01-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1001.2233,
  title  = {Explicit local reciprocity for tame extensions},
  author = {Rachel Newton},
  journal= {arXiv preprint arXiv:1001.2233},
  year   = {2010}
}

Comments

31 pages

R2 v1 2026-06-21T14:34:22.755Z