On the topological Brauer group of generalized Kummer varieties

Fuente: arXiv
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Main Authors: Hartlieb, Moritz, Verni, Matteo
Format: Preprint
Published: 2025
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_version_ 1866909973101936640
author Hartlieb, Moritz
Verni, Matteo
author_facet Hartlieb, Moritz
Verni, Matteo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_14262
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the topological Brauer group of generalized Kummer varieties
Hartlieb, Moritz
Verni, Matteo
Algebraic Geometry
14F22, 14F25, 14J42
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.
title On the topological Brauer group of generalized Kummer varieties
topic Algebraic Geometry
14F22, 14F25, 14J42
url https://arxiv.org/abs/2512.14262