Covering data and higher dimensional global class field theory
| dc.creator | Kerz, Moritz | |
| dc.creator | Schmidt, Alexander | |
| dc.date | 2008-04-22 | |
| dc.date | 2009-03-17 | |
| dc.date.accessioned | 2026-07-07T12:52:32Z | |
| dc.date.available | 2026-07-07T12:52:32Z | |
| dc.description | For a connected regular scheme X, flat and of finite type over Spec(Z), we construct a reciprocity homomorphism ρ_X: C_X --> π_1^\ab(X), which is surjective and whose kernel is the connected component of the identity. The (topological) group C_X 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. | |
| dc.description | 31 pages, corrected minor mistakes and added some remarks | |
| dc.identifier | https://arxiv.org/abs/0804.3419 | |
| dc.identifier | http://arxiv.org/abs/0804.3419 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223324 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 19F05; 11R37 | |
| dc.title | Covering data and higher dimensional global class field theory | |
| dc.type | text |