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Cohen-Macaulay Local Rings of Embedding Dimension e + d - 3
Authors:Rossi, Maria Evelina   Valla, Giuseppe
Affiliation:Department of Mathematics, University of Genoa Via Dodecaneso 35, 16146 Genoa, Italy; rossim{at}dima.unige.it, valla{at}dima.unige.it
Abstract:In this paper we determine the possible Hilbert functions ofa Cohen–Macaulay local ring of dimension d and multiplicitye, in the case where the embedding dimension v satisfies v =e + d – 3 and the Cohen–Macaulay type is less thanor equal to e – 3. 1991 Mathematics Subject Classification:primary 13D40; secondary 13P99.
Keywords:Cohen-Macaulay local ring    associated graded ring    Hilbert series
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