Su certe curve di genere massimo in P^3

In this paper we describe the smooth connected curves in P3 having degree d=(s-1)2-r, (r between 0 and s-4, s at least 4), not lying on a surface of degree s-1 and having maximal genus G(d,s). Moreover we see that the deficiency module of these curves, when it is not zero, is ks-2. At last we study the family of these curves in the Hilbert scheme.