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arXiv · 2211.03278

The algebraic Brauer group of a reductive group over a nonarchimedean local field

Dylon Chow
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Abstract

We show that for nonarchimedean local fields $F$, the pairing from the algebraic part of the Brauer group of a reductive group $G$ characterizes all continuous homomorphisms from $G(F)$ into $\mathbb{Q}/\mathbb{Z}$. This generalizes results of Loughran and Loughran-Tanimoto-Takloo-Bighash.

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Dylon Chow. 2022-11-07. The algebraic Brauer group of a reductive group over a nonarchimedean local field. https://arxiv.org/abs/2211.03278

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