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arXiv · 2410.20616

The Brauer group of tori

Julian Demeio
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Abstract

We show that the map $\operatorname{Br} T \to (\operatorname{Br} T_{\bar k})^{Γ_k}$ is surjective for a torus $T$ defined over a field $k$ of characteristic $0$ when $k$ is a local or global field or $T$ is quasi-trivial.

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Julian Demeio. 2024-10-27. The Brauer group of tori. https://arxiv.org/abs/2410.20616

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