2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61380We review the present state of the problem, for each degree $d$ and genus $g$, is the Hilbert scheme of locally Cohen--Macaulay curves in ${\mathbb P}^3$ connected?10 pagesAlgebraic Geometry14H50; 14C05Questions of Connectedness of the Hilbert Scheme of Curves in ${\mathbb P}^3$text