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

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

2008-03-17

arxiv.org/abs/0803.2381v1

Mathematics

Number Theory

Scientific paper

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.

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