Moduli schemes of generically simple Azumaya modules
| dc.creator | Hoffmann, Norbert | |
| dc.creator | Stuhler, Ulrich | |
| dc.date | 2004-11-04 | |
| dc.date | 2004-12-15 | |
| dc.date.accessioned | 2026-07-07T06:22:38Z | |
| dc.date.available | 2026-07-07T06:22:38Z | |
| dc.description | Let A be an Azumaya algebra over a smooth projective variety X or more generally, a torsion free coherent sheaf of algebras over X whose generic fiber is a central simple algebra. We show that generically simple torsion free A-module sheaves have a projective coarse moduli scheme; it is smooth and even symplectic if X is an abelian or K3 surface and A is Azumaya. We explain a relation to the classical theory of the Brandt groupoid. | |
| dc.description | 20 pages. v2: generic setup slightly generalized (from rank one modules over a central division algebra to simple modules over a central simple algebra), a few references added | |
| dc.identifier | https://arxiv.org/abs/math/0411094 | |
| dc.identifier | http://arxiv.org/abs/math/0411094 | |
| dc.identifier | Documenta Math. 10 (2005) 369--389 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95970 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 (Primary) 16H05 (Secondary) | |
| dc.title | Moduli schemes of generically simple Azumaya modules | |
| dc.type | text |