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Castelnuovo–Mumford regularity and Degree of nilpotency

Published online by Cambridge University Press:  01 May 2007

CAO HUY LINH
CAO HUY LINH*
Affiliation:
Department of Mathematics, College of Education, Hue University, 34 Le Loi, Hue City, Vietnam.
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 3 , May 2007 , pp. 429 - 437
Copyright
Copyright © Cambridge Philosophical Society 2007

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