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Fibre categories of QCoh are opposites of QCoh

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aisejohan committed Jan 25, 2019
1 parent 1b0ed7d commit 9767785f2765c8d58978c9db686ddb38818afe41
Showing with 1 addition and 1 deletion.
  1. +1 −1 examples-stacks.tex
@@ -90,7 +90,7 @@ \section{Quasi-coherent sheaves}
(X, \mathcal{F}) \mapsto X
$$
is a functor. Note that the fibre category of $\QCohstack$ over
a scheme $X$ is just the category $\QCoh(\mathcal{O}_X)$
a scheme $X$ is the opposite of the category $\QCoh(\mathcal{O}_X)$
of quasi-coherent $\mathcal{O}_X$-modules.
We remark for later use that given
$(X, \mathcal{F}), (Y, \mathcal{G}) \in \Ob(\QCohstack)$

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