DOI QR코드

DOI QR Code

A STRUCTURE THEOREM FOR COMPLETE INTERSECTIONS

  • Published : 2009.07.31

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.

References

  1. A. Brown, A structure theorem for a class of grade three perfect ideals, J. Algebra 105 (1987), no. 2, 308–327 https://doi.org/10.1016/0021-8693(87)90196-7
  2. 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
  3. L. Burch, On ideals of finite homological dimension in local rings, Proc. Cam. Phil. Soc. 64 (1968), 941–948
  4. O.-J. Kang and H. J. Ko, The structure theorem for complete intersections of grade 4, Algebra Colloq. 12 (2005), no. 2, 181–197
  5. 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
  6. C. Peskine and L. Szpiro, Liaison des varietes algebriques. I, Invent. Math. 26 (1974), 271–302 https://doi.org/10.1007/BF01425554
  7. R. Sanchez, A structure theorem for type 3, grade 3 perfect ideals, J. Algebra 123 (1989), no. 2, 263–288 https://doi.org/10.1016/0021-8693(89)90047-1

Cited by

  1. Structure Theory for Grade Three Perfect Ideals Associated with Some Matrices vol.43, pp.7, 2015, https://doi.org/10.1080/00927872.2014.900684