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, ...
Export bibliographical data
| Item type: | Article |
|---|---|
| Date: | 2005 |
| Institutions: | Mathematics > Prof. Dr. Alexander Schmidt |
| Keywords: | class field theory; higher dimensional fields; arithmetic schemes; Chow group; zero cycles; fundamental group |
| Dewey Decimal Classification: | 500 Science > 510 Mathematics |
| Status: | Published |
| Refereed: | Unknown |
| Created at the University of Regensburg: | Yes |
| Item ID: | 10986 |
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