Castelnuovo-Mumford regularity and Degree of nilpotency

• Autores: C. H. Linh
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 142, Nº 3, 2007, págs. 429-437
• Idioma: inglés
• DOI: 10.1017/s0305004106009819
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• Resumen

  • 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