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.

引用

页码：322 / 333

页数：12

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