On the monotonicity of Hilbert functions

被引：3
|
作者：
Puthenpurakal, Tony J. [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India
来源：
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2019年 / 141卷
关键词：
Hilbert functions; blow-up algebras; LOCAL-RINGS;
D O I：
10.4171/RSMUP/11
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that a large class of one-dimensional Cohen-Macaulay local rings (A, m) has the property that if M is a maximal Cohen-Macaulay A-module then the Hilbert function of M (with respect to m) is non-decreasing. Examples include (1) complete intersections A = Q/(f, g) where (Q, n) is regular local of dimension three and f is an element of n(2) \ n(3); (2) one dimensional Cohen-Macaulay quotients of a two dimensional Cohen-Macaulay local ring with pseudo-rational singularity.
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页码：1 / 8
页数：8
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