On the topological Brauer group of generalized Kummer varieties

Moritz Hartlieb; Matteo Verni

Paper

On the topological Brauer group of generalized Kummer varieties

Abstract

We study the topological Brauer group of generalized Kummer varieties. We prove that it vanishes when their dimension is divisible by 4, while for all other dimensions except dimension 10 we prove that it is at most 8-torsion.