English

On the topological Brauer group of generalized Kummer varieties

Algebraic Geometry 2025-12-23 v2

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.

Keywords

Cite

@article{arxiv.2512.14262,
  title  = {On the topological Brauer group of generalized Kummer varieties},
  author = {Moritz Hartlieb and Matteo Verni},
  journal= {arXiv preprint arXiv:2512.14262},
  year   = {2025}
}

Comments

10 pages. v2: minor corrections