Betti numbers and lifting of Gorenstein codimension three ideals

被引：7

作者：

Conca, A ^{[1
]}

Valla, G ^{[1
]}

机构：

[1] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

COMMUNICATIONS IN ALGEBRA | 2000年 / 28卷 / 03期

关键词：

D O I：

10.1080/00927870008826900

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider homogeneous Gorenstein ideals of codimension three in a polynomial ring and determine their graded Betti numbers in terms of their Hilbert function. For such ideals we prove also a lifting theorem in the vein of a classical result of Hartshorne concerning monomial ideals.

引用

页码：1371 / 1386

页数：16

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