First Steps towards Hyper-desingularization through Brauer-Severi Varieties
| dc.creator | Bocklandt, Raf | |
| dc.creator | Symens, Stijn | |
| dc.creator | Van de Weyer, Geert | |
| dc.date | 2005-01-18 | |
| dc.date | 2005-01-27 | |
| dc.date.accessioned | 2026-07-07T05:16:10Z | |
| dc.date.available | 2026-07-07T05:16:10Z | |
| dc.description | Given a Cayley-Hamilton smooth order A in a central simple algebra $Σ$, we determine the flat locus of the Brauer-Severi fibration of the smooth order. Moreover, we give a classification of all (reduced) central singularities where the flat locus differs from the Azumaya locus and show that the fibers over the flat, non-Azumaya points near these central singularities can be described as fibered products of graphs of projection maps, thus generalizing an old result of Artin on the fibers of the Brauer-Severi fibration over a ramified point. Finally, we show these fibers are also toric quiver varieties and use this fact to compute their cohomology. | |
| dc.description | 24 pages. Added missing reference. Made clear that throughout the paper we only work with smooth orders | |
| dc.identifier | https://arxiv.org/abs/math/0501270 | |
| dc.identifier | http://arxiv.org/abs/math/0501270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73883 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05 | |
| dc.title | First Steps towards Hyper-desingularization through Brauer-Severi Varieties | |
| dc.type | text |