I am sorry if this question has been already asked, couldn't find anything similar myself. I have recently recalled this long standing open problem of whether every curve in $\mathbb{P}^3(\mathbb{C})$ is a set-theoretic intersection of two surfaces in $\mathbb{P}^3(\mathbb{C})$. I know that there are results in characteristic $p > 0$. My question is what is the best result regarding this problem known today? Some references would be appreciated.