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Tame class field theory for arithmetic schemes
We extend the unramified class field theory for arithmetic schemes of K. Kato
and S. Saito to the tame case. Let be a regular proper arithmetic scheme
and let be a divisor on whose vertical irreducible components are
normal schemes.
Theorem: There exists a natural reciprocity isomorphism \rec_{X,D}:
\CH_0(X,D) \liso \tilde \pi_1^t(X,D)^\ab\. Both groups are finite.
This paper corrects and generalizes my paper "Relative K-theory and class
field theory for arithmetic surfaces" (math.NT/0204330
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