Kerz, Moritz and Schmidt, Alexander (2009) Covering data and higher dimensional global class field theory. JOURNAL OF NUMBER THEORY, 129 (10). pp. 2569-2599. ISSN 0022-314X,
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For a connected regular scheme X, flat and of finite type over Spec(Z), we construct a reciprocity homomorphism rho x : Cx -> pi(ab)(1)(X), which is surjective and whose kernel is the connected component of the identity. The (topological) group Cx is explicitly given and built solely out of data attached to points and curves on X. A similar but weaker statement holds for smooth varieties over finite fields. Our results are based on earlier work of G. Wiesend. (c) 2009 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ARITHMETIC SCHEMES; VARIETIES; SURFACES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Moritz Kerz |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Sep 2020 06:56 |
| Last Modified: | 04 Sep 2020 06:56 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28359 |
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