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Two typos in etale-cohomology
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aisejohan committed Apr 13, 2024
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Expand Up @@ -17319,7 +17319,7 @@ \section{Smooth base change}
Assume $q = 1$. Recall that $\mathcal{F}$ corresponds to a
discrete module $M$ with continuous $\text{Gal}_K$-action, see
Lemma \ref{lemma-equivalence-abelian-sheaves-point}.
Since $M$ is $n$-torsion, it is the uninon of finite
Since $M$ is $n$-torsion, it is the union of finite
$\text{Gal}_K$-stable subgroups. Thus
we reduce to the case where $M$ is a finite abelian group annihilated by $n$,
see Lemma \ref{lemma-colimit}. After replacing $K$ by a finite extension
Expand Down Expand Up @@ -17902,7 +17902,7 @@ \section{Smooth base change}
\end{proof}

\noindent
The following immediate consquence of the smooth base change
The following immediate consequence of the smooth base change
theorem is what is often used in practice.

\begin{lemma}
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