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Buchsbaumness in Rees Algebras Associated to Ideals of Minimal Multiplicity

✍ Scribed by Shiro Goto

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 437 KB
Volume: 213
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7640

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✦ Synopsis

It is routine to check that I 3 s QI 2 and ᒊ I : Q. We will show

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The present article gives certain conditions for Rees modules to obtain Buchsbaumness. Suppose a given -primary ideal is of minimal multiplicity in the equi-I-invariant case. Then it is shown that the positively graded submodule of the Rees module must be Buchsbaum and moreover that the Rees module

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