Skip to content

Commit

Permalink
Fix typo
Browse files Browse the repository at this point in the history
  • Loading branch information
aisejohan committed Dec 10, 2019
1 parent eb1f810 commit b38bb61
Showing 1 changed file with 3 additions and 3 deletions.
6 changes: 3 additions & 3 deletions schemes.tex
Original file line number Diff line number Diff line change
Expand Up @@ -4733,9 +4733,9 @@ \section{Functoriality for quasi-coherent modules}
$$
where $\mathcal{F}_i, \mathcal{F}_{ijk}$ denotes the
restriction of $\mathcal{F}$ to the corresponding open.
If $\mathcal{F}$ is a quasi-coherent $\mathcal{O}_X$-modules
then $\mathcal{F}_i$, $\mathcal{F}_{ijk}$ is a quasi-coherent
$\mathcal{O}_{U_i}$, $\mathcal{O}_{U_{ijk}}$-module.
If $\mathcal{F}$ is a quasi-coherent $\mathcal{O}_X$-module
then $\mathcal{F}_i$ is a quasi-coherent $\mathcal{O}_{U_i}$-module
and $\mathcal{F}_{ijk}$ is a quasi-coherent $\mathcal{O}_{U_{ijk}}$-module.
Hence by Lemma \ref{lemma-widetilde-pullback} we see that the second and
third term of the exact sequence are quasi-coherent
$\mathcal{O}_S$-modules. Thus we conclude that
Expand Down

0 comments on commit b38bb61

Please sign in to comment.