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Tame class field theory for arithmetic schemes

Schmidt, Alexander (2005) Tame class field theory for arithmetic schemes. Inventiones Mathematicae 160 (3), 527 -565 .

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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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Item Type: Article 2005 Mathematics > Prof. Dr. Alexander Schmidt class field theory; higher dimensional fields; arithmetic schemes; Chow group; zero cycles; fundamental group 500 Science > 510 Mathematics Published Unknown Yes 27 Nov 2009 06:52 13 Mar 2014 12:07 10986
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