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Castelnuovo–Mumford regularity and Degree of nilpotency

Published online by Cambridge University Press:  01 May 2007

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

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
Copyright
Copyright © Cambridge Philosophical Society 2007

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References

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