Topological methods for complex-analytic Brauer groups
| dc.creator | Schroeer, Stefan | |
| dc.date | 2004-05-12 | |
| dc.date | 2005-02-08 | |
| dc.date.accessioned | 2026-07-07T07:54:04Z | |
| dc.date.available | 2026-07-07T07:54:04Z | |
| dc.description | Using methods from algebraic topology and group cohomology, I pursue Grothendieck's question on equality of geometric and cohomological Brauer groups in the context of complex-analytic spaces. The main result is that equality holds under suitable assumptions on the fundamental group and the Pontrjagin dual of the second homotopy group. I apply this to Lie groups, Hopf manifolds, and complex-analytic surfaces. | |
| dc.description | 20 pages, minor corrections, to appear in Topology | |
| dc.identifier | https://arxiv.org/abs/math/0405223 | |
| dc.identifier | http://arxiv.org/abs/math/0405223 | |
| dc.identifier | Topology 44 (2005), no. 5, 875--894 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126460 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F22, 20J06, 32J15 | |
| dc.title | Topological methods for complex-analytic Brauer groups | |
| dc.type | text |