Noncommutative Smooth Models
| dc.creator | Bruyn, Lieven Le | |
| dc.date | 2002-09-06 | |
| dc.date | 2002-09-09 | |
| dc.date.accessioned | 2026-07-07T04:50:39Z | |
| dc.date.available | 2026-07-07T04:50:39Z | |
| dc.description | We determine the central simple algebras D over a functionfield K of trancendence degree two which admit a model of smooth Cayley-Hamilton algebras. This happens if and only if there is a smooth model S of K such that the ramification divisor of a maximal S-order in D is a disjoint union of smooth curves. Further, we prove that the Brauer-Severi fibration of smooth models which are in addition maximal orders is a flat morphism and determine the number of irreducible components of the fibers. | |
| dc.description | (v2 : cleaned up the pictures) | |
| dc.identifier | https://arxiv.org/abs/math/0209067 | |
| dc.identifier | http://arxiv.org/abs/math/0209067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64871 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16R30; 16K50 | |
| dc.title | Noncommutative Smooth Models | |
| dc.type | text |