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-rw-r--r--controle-20230412.tex8
1 files changed, 4 insertions, 4 deletions
diff --git a/controle-20230412.tex b/controle-20230412.tex
index 9a12ee8..c7c55e6 100644
--- a/controle-20230412.tex
+++ b/controle-20230412.tex
@@ -583,10 +583,10 @@ means\footnote{Here $k^{\alg}$ denotes the algebraic closure of $k$,
but feel free to assume that $k$ is algebraically closed ($k =
k^{\alg}$) in this question.}: there is a Zariski closed set $Y$ in
$\mathbb{P}^5$, defined over $k$ and contained in the Plücker quadric
-$Q$ (defined by $\dagger$), such, for $w \in Q(k^{\alg})$, we have $w
-\in Y(k^{\alg})$ if and only if $L_w \subseteq X(k^{\alg})$, where
-$L_w$ denotes the line in $\mathbb{P}^3(k^{\alg})$ having Plücker
-coordinates $w$.)
+$Q$ (defined by $\dagger$), such that, for $w \in Q(k^{\alg})$, we
+have $w \in Y(k^{\alg})$ if and only if $L_w \subseteq X(k^{\alg})$,
+where $L_w$ denotes the line in $\mathbb{P}^3(k^{\alg})$ having
+Plücker coordinates $w$.)
The important part of this question is: how can we compute equations
for $Y$ given the equation $h=0$ of $X$?