BOUNDS ON THE NORMAL HILBERT COEFFICIENTS

作者：Corso Alberto^*; Polini Claudia^*; Rossi Maria Evelina^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144(5): 1919-1930.

DOI：10.1090/proc/12858

• Hilbert functions
• Hilbert coefficients
• associated graded rings
• Sally modules
• normal filtrations

In this paper we consider extremal and almost extremal bounds on the normal Hilbert coefficients of m-primary ideals of an analytically unramified Cohen-Macaulay ring R of dimension d > 0 and infinite residue field. In these circumstances we show that the associated graded ring of the normal filtration of the ideal is either Cohen-Macaulay or almost Cohen-Macaulay.

• 出版日期2016-5