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X should be Y
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aisejohan committed Nov 15, 2020
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Expand Up @@ -176,6 +176,7 @@ Hayama Kazuma (羽山籍真)
Kiran Kedlaya
Timo Keller
Adeel Ahmad Khan
Derek Khu
Keenan Kidwell
Ammar Kilic
Andrew Kiluk
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2 changes: 1 addition & 1 deletion duality.tex
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Expand Up @@ -4876,7 +4876,7 @@ \section{A duality theory}
\item if $f : X \to Y$ is a closed immersion in $\textit{FTS}_S$,
then $f^!(-) = R\SheafHom(\mathcal{O}_X, -)$,
\item if $f : Y \to X$ is a finite morphism in $\textit{FTS}_S$,
then $f_*f^!(-) = R\SheafHom_{\mathcal{O}_X}(f_*\mathcal{O}_X, -)$,
then $f_*f^!(-) = R\SheafHom_{\mathcal{O}_X}(f_*\mathcal{O}_Y, -)$,
\item if $f : X \to Y$ is the inclusion of an effective Cartier divisor
into an object of $\textit{FTS}_S$, then
$f^!(-) = Lf^*(-) \otimes_{\mathcal{O}_X} \mathcal{O}_Y(-X)[-1]$,
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