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# Tame class field theory for arithmetic schemes

URN to cite this document:
urn:nbn:de:bvb:355-epub-109860
DOI to cite this document:
10.5283/epub.10986
Schmidt, Alexander
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Date of publication of this fulltext: 27 Nov 2009 06:52

## Abstract

Takagi's class field theory gave a decription of the abelian extensions of a number field $K$ in terms of ideal groups in $K$. In the 1980s, {\it K. Kato} and {\it S. Saito} [Global class field theory of arithmetic schemes". Applications of algebraic K-theory to algebraic geometry and number theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Part I, Contemp. Math. 55, ...

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