%0 Journal Article %T Su certe curve di genere massimo in P^3 %A Maria Grazia Cinquegrani %J Le Matematiche %D 1990 %I University of Catania %X 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. %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/673