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When is a pair of space curves that intersect (plenty) a complete intersection?

Let there be two curves of degree $d=2 m^2$ in $\mathbb{A}^3$ having $\geq c d^2$ points of intersection, where $c>0$ is a constant. Then their union $V$ is a curve of degree $2 d = 4 m^2$. Can $V$ be …
H A Helfgott's user avatar
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