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

Published online by Cambridge University Press:  01 January 2000

MARIA EVELINA ROSSI  and
GIUSEPPE VALLA
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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.

Keywords

Cohen-Macaulay local ringassociated graded ringHilbert series
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 80 , Issue 1 , January 2000 , pp. 107 - 126
Copyright
2000 London Mathematical Society

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