LYUBEZNIK AND BETTI NUMBERS FOR HOMOGENEOUS IDEALS

被引：0

作者：

Nadi, Parvaneh ^{[1
]}

Rahmati, Farhad ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Dept Math & Comp Sci, 424 Hafez Av, Tehran 1591634311, Iran

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 06期

关键词：

Lyubeznik numbers; Betti numbers; initial ideals; cohomologically full rings; LOCAL COHOMOLOGY MODULES; BASS NUMBERS; DIMENSION;

D O I：

10.1216/rmj.2020.50.2157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R = K [x(1), ...., x(n)] be the standard graded polynomial ring over a field K. We'll study the Lyubeznik numbers of two homogeneous ideals of R whose initial ideals are linked for some monomial order over R. We'll also investigate some relations between Lyubeznik and Betti numbers of homogeneous ideals.

引用

页码：2157 / 2165

页数：9

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