A combinatorial proof of Gotzmann's persistence theorem for monomial ideals

被引：4
|
作者：
Murai, Satoshi [1 ]
机构：
[1] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Toyonaka, Osaka 560, Japan
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2008年 / 29卷 / 01期
基金：
日本学术振兴会;
关键词：
D O I：
10.1016/j.ejc.2006.07.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Gotzmann proved the persistence for minimal growth of Hilbert functions of homogeneous ideals. His theorem is called Gotzmann's persistence theorem. In this paper, based on the combinatorics of binomial coefficients, a simple combinatorial proof of Gotzmann's persistence theorem in the special case of monomial ideals is given. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：322 / 333
页数：12
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