Class field theory for curves over $p$-adic fields
Number Theory
2008-03-18 v1 K-Theory and Homology
Abstract
We develop class field theory of curves over -adic fields which extends the unramified theory of S. Saito. The class groups which approximate abelian \'etale fundamental groups of such curves are introduced in the terms of algebraic -groups by imitating G. Wiesend's class group for curves over finite fields.
Cite
@article{arxiv.0803.2381,
title = {Class field theory for curves over $p$-adic fields},
author = {Toshiro Hiranouchi},
journal= {arXiv preprint arXiv:0803.2381},
year = {2008}
}