From fb990c270a0af10047ca94b25b5613d0f8dbe739 Mon Sep 17 00:00:00 2001 From: Aise Johan de Jong Date: Fri, 3 Mar 2023 15:03:47 -0500 Subject: [PATCH] Fix formulation Thanks to Rachel Webb https://stacks.math.columbia.edu/tag/02O6#comment-8142 --- coherent.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/coherent.tex b/coherent.tex index 69d60a7b3..779e8c8dc 100644 --- a/coherent.tex +++ b/coherent.tex @@ -5224,7 +5224,7 @@ \section{Higher direct images of coherent sheaves} Let $S = \Spec(A)$ with $A$ a Noetherian ring. Let $f : X \to S$ be a proper morphism. Let $\mathcal{F}$ be a coherent $\mathcal{O}_X$-module. -Then $H^i(X, \mathcal{F})$ is finite $A$-module for all $i \geq 0$. +Then $H^i(X, \mathcal{F})$ is a finite $A$-module for all $i \geq 0$. \end{lemma} \begin{proof}