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Fix some internal references
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aisejohan committed Jun 27, 2023
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2 changes: 1 addition & 1 deletion algebraization.tex
Expand Up @@ -4081,7 +4081,7 @@ \section{Algebraization of formal sections, II}

\begin{proof}[First proof]
Recall that $A$ is universally catenary and with Gorenstein
formal fibres, see Local Cohomology, Lemmas
formal fibres, see Dualizing Complexes, Lemmas
\ref{dualizing-lemma-dualizing-gorenstein-formal-fibres} and
\ref{dualizing-lemma-universally-catenary}. Thus we may consider the map
$\mathcal{F} \to \mathcal{F}'$ constructed in
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2 changes: 1 addition & 1 deletion more-etale.tex
Expand Up @@ -3507,7 +3507,7 @@ \section{Derived lower shriek via compactifications}
\item the isomorphism $g^{-1} \circ Rf_! \to Rf'_! \circ (g')^{-1}$
of Lemma \ref{lemma-base-change-shriek}
and the base change map of
Cohomology on Sites, Lemma \ref{sites-cohomology-remark-base-change}.
Cohomology on Sites, Remark \ref{sites-cohomology-remark-base-change}.
\end{enumerate}
Namely, choose a compactification $j : X \to \overline{X}$ over $Y$
and denote $\overline{f} : \overline{X} \to Y$ the structure morphism.
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2 changes: 1 addition & 1 deletion more-morphisms.tex
Expand Up @@ -22335,7 +22335,7 @@ \section{More on weightings}
We will also use elementary properties of constructible subsets
of schemes and topological spaces, see
Topology, Section \ref{topology-section-constructible} and
Properties of Schemes, Section \ref{properties-section-constructible}.
Properties, Section \ref{properties-section-constructible}.
Using this the reader sees question is local on $X$ and $Y$;
details omitted. Hence we may assume $X$ and $Y$ are affine.
If we can find a surjective morphism $Y' \to Y$
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2 changes: 1 addition & 1 deletion obsolete.tex
Expand Up @@ -2076,7 +2076,7 @@ \section{Representability in the regular proper case}
\end{lemma}

\begin{proof}
This follows from Derived Categorie of Varieties, Theorem
This follows from Derived Categories of Varieties, Theorem
\ref{equiv-theorem-bondal-van-den-bergh} and
Lemma \ref{equiv-lemma-homological-representable}.
We also give another proof below.
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