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Castelnuovo–Mumford regularity and Degree of nilpotency
Published online by Cambridge University Press: 01 May 2007
Abstract
In this paper we show that the Castelnuovo–Mumford regularity of the associated graded module with respect to an m-primary ideal I is effectively bounded by the degree of nilpotency of I. From this it follows that there are only a finite number of Hilbert-Samuel functions for ideals with fixed degree of nilpotency.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 3 , May 2007 , pp. 429 - 437
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- Copyright © Cambridge Philosophical Society 2007
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