On the Cohen-Macaulay and Buchsbaum property for unions of planes in affine space

@inproceedings{Geramita1985OnTC,
  title={On the Cohen-Macaulay and Buchsbaum property for unions of planes in affine space},
  author={Anthony V. Geramita and Charles A. Weibel},
  year={1985}
}
Abstract The coordinate ring A of a union of planes in affine space is studied and it is asked when A is a Cohen-Macaulay or Buchsbaum ring. These properties are related to the position of the planes via the notion of seminormality. It is shown that A is Cohen-Macaulay iff A is connected in codimension 2 and seminormal in an appropriate sense. Consideration of the Cohen-Macaulification then yields a simple criterion for A to be Buchsbaum. Methods with several examples are illustrated. 
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References

Publications referenced by this paper.
SHOWING 1-5 OF 5 REFERENCES

BRODMANN, Finiteness of ideal transforms

M P.
  • J. Algebra
  • 1980

BRODMANN, A “Macaulayftcation

M P.
  • of unmixed domains, J. Algebra
  • 1977

Local Cohomology,

R. HARTSHORNE
  • Amer. J. Math
  • 1970

RAYNAUD, Fibres formelles d’un anneau local noetberien

M. D. FERRAND
  • Ann. Sci. Ecole Norm. Sup
  • 1970

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