Suppose $C$ is a irreducible closed curve in $\mathbb P^3$(projective space over an algebraically closed field), I need to prove there are three homogeneous functions $f_1,f_2,f_3$ such that $C=V_+(f_1,f_2,f_3)$. How to get it?
2026-03-27 13:27:22.1774618042
Any irreducible projective curve in $\mathbb P^3$ can be defined by three functions.
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