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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156987We 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.Number TheoryK-Theory and Homology11R37; 19D45Class field theory for curves over $p$-adic fieldstext