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Topological methods for complex-analytic Brauer groups

Stefan Schroeer
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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.

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Stefan Schroeer. 2005-02-08. Topological methods for complex-analytic Brauer groups. https://arxiv.org/abs/math/0405223

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