English

Class field theory for open curves over local fields, II

Number Theory 2018-03-16 v2

Abstract

As a continuation of arXiv:1412.6888, we study the reciprocity map for an open curve XX over a local field of characteristic p>0p>0. We determine the pp-part of the kernel of the reciprocity map after restricting ramification when the rank of XX is 00.

Cite

@article{arxiv.1712.09194,
  title  = {Class field theory for open curves over local fields, II},
  author = {Toshiro Hiranouchi},
  journal= {arXiv preprint arXiv:1712.09194},
  year   = {2018}
}

Comments

The proof in Prop. 2.1 is incorrect

R2 v1 2026-06-22T23:29:07.515Z