On the Betti polynomials of certain graded ideals

被引：0

作者：

Failla, Gioia ^{[1
]}

Tang, Zhongming ^{[2
]}

机构：

[1] Univ Reggio Calabria, DIIES, Via Graziella, Reggio Di Calabria, Italy

[2] Soochow Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Betti polynomial; Borel principal ideal; degree; 13A30; POWERS;

D O I：

10.1080/00927872.2017.1404077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S = K[ x1,..., xn] be apolynomialringovera eld K and I be anonzero gradedidealof S. Then, for t >> 0, theBettinumber ss q( S/ It) is apolynomial in t, whichisdenotedby BI q( t). Itisprovedthat BI q( t) is vanishedorof degree l ( I) - 1 provided I is amonomialidealgeneratedinasingledegree or grade( mR( I)) = codim( mR( I)) where m = ( x1,..., xn) and R( I) is theRees ringof I. Onelowerboundfortheleadingcoe cientofBI q( t) is given. When I is aBorelprincipalmonomialideal, BI q( t) is calculatedexplicitly.

引用

页码：3135 / 3146

页数：12