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On a-Invariant Formulas

✍ Scribed by Manfred Herrmann; Eero Hyry; Thomas Korb

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
121 KB
Volume
227
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let G I be the form ring of an ideal I of positive height in a local ring A. In Ž . this work we will provide formulas for the a-invariant of G I . Our main result will Ž . only need the assumption that A is Cohen᎐Macaulay and that G I fulfills Serre's Ž . condition S where l is the analytic spread of I. As a consequence of our formula l we will prove upper bounds for the reduction exponent of I in the case that A is a Ž . Ž . regular local ring. If G I fulfills Serre's condition S , then this upper bound is l Ž . l y 1. And in the case that G I is even Gorenstein, it is l y 2.

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