SUMMARY
A result about curves in P3obtained by R. Strano is generalized to arbitrary subvarieties of Pn. A curve in P3of degree >4 not contained in a quadric surface is a complete intersection if its generic hyperplane section is a complete intersection: this result is also true, with no restrictions, for any locally C.M. Closed non-degenerate subscheme of Pn, n>3.