Class field theory for curves over p-adic fields
classification
🧮 math.NT
math.KT
keywords
classcurvesfieldsgroupstheoryadicfieldabelian
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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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