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2 questions with no upvoted or accepted answers
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answers
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Discrete vs. finitely generated subgroups of the adèles
If $U\subseteq\mathbf{R}^n$ is an additive subgroup, discrete with respect to the induced topology, then $U$ is a finitely generated abelian group.
Question.
Given a discrete additive subgroup $U\...
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Image of pullback for Brauer groups
If a have a dominant morphism $\pi:X \rightarrow \mathbb{P}^{1}$ where $X$ is a projective, geometrically integral $k$-scheme. Then this gives rise to a pullback map
\begin{align*}
\pi^{*}:\text{Br}(k(...