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http://dx.doi.org/10.4134/BKMS.2009.46.4.657

A STRUCTURE THEOREM FOR COMPLETE INTERSECTIONS  

Choi, Eun-Jeong (UNIVERSITY COLLEGE YONSEI UNIVERSITY)
Kang, Oh-Jin (DEPARTMENT OF MATHEMATICS SCIENCE COLLEGE UNIVERSITY OF INCHEON)
Ko, Hyoung-J. (DEPARTMENT OF MATHEMATICS YONSEI UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.4, 2009 , pp. 657-671 More about this Journal
Abstract
Buchsbaum and Eisenbud proved a structure theorem for Gorenstein ideals of grade 3. In this paper we derive a class of the perfect ideals from a class of the complete matrices. From this we give a structure theorem for complete intersections of grade g > 3.
Keywords
complete intersection of grade g; structure theorem;
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1 D. A. Buchsbaum and D. Eisenbud, Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3, Amer. J. Math. 99 (1977), no. 3, 447–485
2 L. Burch, On ideals of finite homological dimension in local rings, Proc. Cam. Phil. Soc. 64 (1968), 941–948
3 O.-J. Kang and H. J. Ko, The structure theorem for complete intersections of grade 4, Algebra Colloq. 12 (2005), no. 2, 181–197
4 C. Peskine and L. Szpiro, Liaison des varietes algebriques. I, Invent. Math. 26 (1974), 271–302   DOI
5 R. Sanchez, A structure theorem for type 3, grade 3 perfect ideals, J. Algebra 123 (1989), no. 2, 263–288   DOI
6 A. Brown, A structure theorem for a class of grade three perfect ideals, J. Algebra 105 (1987), no. 2, 308–327   DOI
7 A. Kustin and M. Miller, Structure theory for a class of grade four Gorenstein ideals, Trans. Amer. Math. Soc. 270 (1982), no. 1, 287–307