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Gorenstein Associated Graded Rings of Analytic Deviation Two Ideals

✍ Scribed by Shiro Goto; Shin-ichiro Iai

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 146 KB
Volume: 248
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9051

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✦ Synopsis

This paper studies the question of when the associated graded ring I = n≥0 I n /I n+1 of a certain ideal I in a local ring is Gorenstein. The main result implies, for example, that if A is a regular local ring, is a prime ideal in A with dim A/ = 2, and A/ is a complete intersection in codimension one, then the associated graded ring is Gorenstein if and only if the reduction number of is at most 1.

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