Additions to a theorem of Morey-Ulrich

Let R = k [ x 1 , … , x d ] ( d ≥ 3 ) R = k[x_1,… , x_d] (d≥ 3) denote a standard graded polynomial ring over an algebraically closed field k k , and let I ⊂ R I ⊂ R be a perfect ideal of codimension 2 2 with an n × ( n − 1 ) n× (n-1) linear presentation matrix. We prove an extended formulation of a theorem of Morey and Ulrich in the case where I I satisfies condition G d − 1 Gd-1 , but not condition G d G_d .