Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516319 | Topology | 2005 | 20 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Stefan Schröer,