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Fix the cursed lemma in duality
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aisejohan committed Jun 17, 2020
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Expand Up @@ -4681,7 +4681,8 @@ \section{Base change for upper shriek}
}
$$
be a cartesian diagram of $\textit{FTS}_S$.
Let $E \in D^+_\QCoh(\mathcal{O}_Y)$.
Let $E \in D^+_\QCoh(\mathcal{O}_Y)$ be an object
such that $Lg^*E$ is in $D^+(\mathcal{O}_Y)$.
If $f$ is flat, then $L(g')^*f^!E$ and $(f')^!Lg^*E$
restrict to isomorphic objects of $D(\mathcal{O}_{U'})$
for $U' \subset X'$ affine open mapping into affine opens of $Y$, $Y'$, and $X$.
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