Let $C$ be a reduced curve in $\mathbb{P}^3$ of degree $d$. Does there exist $d$ points on $C$ such that there exists a $1-$dimenional 1-$dimensional family of hyperplanes in $\mathbb{P}^3$ passing through these points?
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Deformation of a plane passing through $d$ points on a curve which are in the base locus of a pencil of planes
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Deformation of a plane passing through $d$ pointsLet $C$ be a reduced curve in $\mathbb{P}^3$ of degree $d$. Does there exist $d$ points on $C$ such that there exists a $1-$dimenional family of hyperplanes in $\mathbb{P}^3$ passing through these points?
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