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

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

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...

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Veröffentlicht in:Proceedings of the London Mathematical Society 2000-01, Vol.80 (1), p.107-126
Hauptverfasser: ROSSI, MARIA EVELINA, VALLA, GIUSEPPE
Format: Artikel
Sprache:eng
Schlagworte:
associated graded ring
Cohen-Macaulay local ring
Hilbert series
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Zusammenfassung: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.
ISSN:0024-6115
1460-244X
DOI:10.1112/S0024611500012089