On the structure of the grade three perfect ideals of type three
Commun. Korean Math. Soc. 2008 Vol. 23, No. 4, 487-497
Printed December 1, 2008
Eun Jeong Choi, Oh-Jin Kang, and Hyoung June Ko
Yonsei University, University of Incheon, and Yonsei University
Abstract : 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.
Keywords : perfect ideal of grade 3, skew-symmetrizable matrix, minimal free resolution
MSC numbers : 13C05, 13C14,13C40, 14M10
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