Class field theory for curves over $p$-adic fields

Toshiro Hiranouchi

Published 2008-03-17Version 1

We develop class field theory of curves over $p$-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 $K$-groups by imitating G. Wiesend's class group for curves over finite fields.