ON THE STRUCTURE OF THE GRADE THREE PERFECT IDEALS OF TYPE THREE Choi, Eun-Jeong; Kang, Oh-Jin; Ko, Hyoung-June;
Buchsbaum and Eisenbud showed that every Gorenstein ideal of grade 3 is generated by the submaximal order pfaffians of an alternating matrix. In this paper, we describe a method for constructing a class of type 3, grade 3, perfect ideals which are not Gorenstein. We also prove that they are algebraically linked to an even type grade 3 almost complete intersection.
perfect ideal of grade 3;skew-symmetrizable matrix;minimal free resolution;