Some remarks on set-theoretic intersection curves in \(\mathbb{P}^ 3\) (Q676046)

It is an open question whether any projective space curve is a set-theoretic intersection. Motivated by the notion of Seshadri-ampleness introduced in a previous article [\textit{R. Paoletti}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 6, No. 4, 259-274 (1995; Zbl 0874.14018)], the author gives a conjecture involving an inequality between the degree and the genus of a smooth connected set-theoretic complete intersection. The conjecture is then proved for some classes of curves.