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Necessary and Sufficient Conditions for the Cohen–Macaulayness of Form Rings

✍ Scribed by Eero Hyry

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
101 KB
Volume
212
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let A be a Cohen᎐Macaulay local ring with an infinite residue field and let I ; A be an ideal of height h ) 0. Supposing that depth ArI n is high enough for certain values of n, we give in this paper necessary and sufficient conditions for the Ž . form ring gr I to be Cohen᎐Macaulay with a-invariant yh or yh q 1. ᮊ 1999

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