Class field theory for curves over p-adic fields

2008/03/17 by Hiranouchi, Toshiro
#11R37 #19D45 #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0803.2381

Abstract

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 étale 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.

Related

• Class field theory for curves over local fields
• Galois symbol maps for abelian varieties over a p-adic field
• Abelian geometric fundamental groups for curves over a p-adic field
• Arithmetic of curves over two dimensional local field
• Geometric Class Field Theory