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Fix missing bar
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aisejohan committed Jun 11, 2020
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2 changes: 1 addition & 1 deletion etale-cohomology.tex
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Expand Up @@ -10734,7 +10734,7 @@ \section{Picard groups of curves}
Write $X = \bar X - \{ x_1, \ldots, x_r\}$. Then $\Pic(X) =
\Pic(\bar X)/ R$, where $R$ is the subgroup generated by
$\mathcal{O}_{\bar X}(x_i)$, $1 \leq i \leq r$. Since $r \geq 1$, we see that
$\Pic^0(X) \to \Pic(X)$ is surjective, hence $\Pic(X)$ is
$\Pic^0(\bar X) \to \Pic(X)$ is surjective, hence $\Pic(X)$ is
divisible. Applying the Kummer sequence, we get (1) and (3). For (2), recall
that
\begin{align*}
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