Relative K-theory and class field theory for arithmetic surfaces
| dc.creator | Schmidt, Alexander | |
| dc.date | 2002-04-29 | |
| dc.date.accessioned | 2026-07-07T04:48:06Z | |
| dc.date.available | 2026-07-07T04:48:06Z | |
| dc.description | In this paper we extend the unramified class field theory for arithmetic surfaces of K. Kato and S. Saito to the relative case. Let X be a regular proper arithmetic surface and let Y be the support of divisor on X. Let CH_0(X,Y) denote the relative Chow group of zero cycles and let \tilde π_1^t(X,Y)^ {ab} denote the abelianized modified tame fundamental group of (X,Y) (which classifies finite etale abelian covings of X-Y which are tamely ramified along Y and in which every real point splits completely). THEOREM: There exists a natural reciprocity isomorphism rec: CH_0(X,Y) --> \tilde π_1^t(X,Y)^{ab}. Both groups are finite. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204330 | |
| dc.identifier | http://arxiv.org/abs/math/0204330 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63923 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 19F05; 11R37 | |
| dc.title | Relative K-theory and class field theory for arithmetic surfaces | |
| dc.type | text |