Resumen de Castelnuovo-Mumford regularity and Degree of nilpotency

C. H. Linh

• 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