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Fix typo in spaces-pushouts.tex
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aisejohan committed Dec 2, 2014
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Expand Up @@ -1229,7 +1229,7 @@ \section{Coequalizers and glueing}
\label{section-coequalizer-glue}

\noindent
Let $X$ be a Noeterian algebraic space and $Z \to X$ a closed subscheme.
Let $X$ be a Noetherian algebraic space and $Z \to X$ a closed subscheme.
Let $X' \to X$ be the blowing up in $Z$. In this section we show that
$X$ can be recovered from $X'$, $Z_n$ and glueing data where $Z_n$
is the $n$th infinitesimal neighbourhood of $Z$ in $X$.
Expand All @@ -1244,7 +1244,7 @@ \section{Coequalizers and glueing}
}
$$
be a commutative diagram of algebraic spaces over $S$. Assume
$B$ Noeterian, $g$ proper and surjective, and $X \to B$ separated
$B$ Noetherian, $g$ proper and surjective, and $X \to B$ separated
of finite type. Let $R = Y \times_X Y$ with projection morphisms
$t, s : R \to Y$. There exists a coequalizer $X'$ of $s, t : R \to Y$
in the category of algebraic spaces separated over $B$. The morphism
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