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Cohen–Macaulay Local Rings of Embedding Dimension e + d − 3
Author(s) -
Rossi Maria Evelina,
Valla Giuseppe
Publication year - 2000
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611500012089
Subject(s) - mathematics , local ring , embedding , dimension (graph theory) , mathematics subject classification , multiplicity (mathematics) , pure mathematics , combinatorics , ring (chemistry) , mathematical analysis , artificial intelligence , computer science , chemistry , organic chemistry
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.
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