Tame class field theory for arithmetic schemes
数论
2009-11-10 v1 K理论与同调
摘要
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)
引用
@article{arxiv.math/0410292,
title = {Tame class field theory for arithmetic schemes},
author = {Alexander Schmidt},
journal= {arXiv preprint arXiv:math/0410292},
year = {2009}
}