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COHEN–MACAULAY LOCAL RINGS OF EMBEDDING DIMENSION e + d − 3

Published online by Cambridge University Press:  01 January 2000

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Abstract

In this paper we determine the possible Hilbert functions of a Cohen--Macaulay local ring of dimension $d$ and multiplicity $e$, in the case where the embedding dimension $v$ satisfies $v=e+d-3$ and the Cohen--Macaulay type is less than or equal to $e-3$.

1991 Mathematics Subject Classification: primary 13D40; secondary 13P99.

Type
Research Article
Copyright
2000 London Mathematical Society

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