Chevalley's ambiguous class number formula for an arbitrary torus
| dc.creator | Gonzalez-Aviles, Cristian D. | |
| dc.date | 2007-11-10 | |
| dc.date | 2007-12-05 | |
| dc.date.accessioned | 2026-07-07T08:47:06Z | |
| dc.date.available | 2026-07-07T08:47:06Z | |
| dc.description | This version is a significant improvement of the original paper. It includes a new section where we discuss norm tori in some detail. The new abstract is the following: In this paper we obtain Chevalley's ambiguous class number formula for an arbitrary torus T over a global field. The classical formula of C.Chevalley may be recovered by setting T=G_{m} in our formula. As an illustration of the general result, we discuss norm tori in detail. A key ingredient of the proof of our main theorem is the work of X.Xarles on groups of components of Neron-Raynaud models of tori. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0711.1623 | |
| dc.identifier | http://arxiv.org/abs/0711.1623 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143482 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 20G30; 11R99 | |
| dc.title | Chevalley's ambiguous class number formula for an arbitrary torus | |
| dc.type | text |