Don't use notion before the definition

Thanks to Ryo Suzuki https://stacks.math.columbia.edu/tag/09NU#comment-8241
stacks · Apr 9, 2024 · e91c5b6 · e91c5b6
1 parent d6d3a1a
commit e91c5b6
Showing 1 changed file with 2 additions and 2 deletions.
diff --git a/cohomology.tex b/cohomology.tex
@@ -398,8 +398,8 @@ \section{First cohomology and invertible sheaves}
 
 \begin{lemma}
 \label{lemma-h1-invertible}
-Let $(X, \mathcal{O}_X)$ be a locally ringed space.
-There is a canonical isomorphism
+Let $(X, \mathcal{O}_X)$ be a ringed space. If all stalks
+$\mathcal{O}_{X, x}$ are local rings, then there is a canonical isomorphism
 $$
 H^1(X, \mathcal{O}_X^*) = \Pic(X).
 $$