In complex projective 4-space, the only algebraically skew curves are the rational normal curve and the elliptic normal curves; in 3-space, the only one is the twisted cubic.
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Algebraically Skew Embeddings of Curves
In complex projective 4-space, the only algebraically skew curves are the rational normal curve and the elliptic normal curves; in 3-space, the only one is the twisted cubic.