From bad5f00eee09bcf8ef34bfedadd59890bdb94193 Mon Sep 17 00:00:00 2001 From: Aise Johan de Jong Date: Wed, 18 Jan 2023 15:52:46 -0500 Subject: [PATCH] not coherent Thanks to Laurent Moret-Bailly https://stacks.math.columbia.edu/tag/09TU#comment-7792 --- quot.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/quot.tex b/quot.tex index 767410ae9..b234c84cd 100644 --- a/quot.tex +++ b/quot.tex @@ -2336,7 +2336,7 @@ \section{The Quot functor} \Cohstack_{X/B} $$ on $(\Sch/S)_{fppf}$ which associates to the quotient -$\mathcal{F}_T \to \mathcal{Q}$ the coherent sheaf $\mathcal{Q}$. +$\mathcal{F}_T \to \mathcal{Q}$ the module $\mathcal{Q}$. By Theorem \ref{theorem-coherent-algebraic-general} we know that $\Cohstack_{X/B}$ is an algebraic stack. By Algebraic Stacks, Lemma