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Fix typos in modules.tex and schemes.tex
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aisejohan committed May 23, 2014
1 parent 1471dd3 commit 9193f70
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2 changes: 1 addition & 1 deletion modules.tex
Expand Up @@ -890,7 +890,7 @@ \section{Modules of finite type}
Choose an open neighbourhood $U \subset X$ such that $\mathcal{F}$ is
generated by $s_1, \ldots, s_n \in \mathcal{F}(U)$ over $U$.
By assumption of surjectivity of $\varphi_x$,
after shrinking $V$ we may assume that $s_i = \varphi(t_i)$
after shrinking $U$ we may assume that $s_i = \varphi(t_i)$
for some $t_i \in \mathcal{G}(U)$.
Then $U$ works.
\end{proof}
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2 changes: 1 addition & 1 deletion schemes.tex
Expand Up @@ -451,7 +451,7 @@ \section{Closed immersions of locally ringed spaces}
\label{lemma-restrict-map-to-closed}
Let $f : X \to Y$ be a morphism of locally ringed spaces.
Let $\mathcal{I} \subset \mathcal{O}_Y$ be a sheaf of
ideals which is locally generated by functions.
ideals which is locally generated by sections.
Let $i : Z \to Y$ be the closed subspace associated to the
sheaf of ideals $\mathcal{I}$.
Let $\mathcal{J}$ be the image of the map
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