The Structure Theorem for Complete Intersections of Grade 4

• 来源期刊: 代数集刊（英文版）
• 关键词: complete matrix of grade 4 linked ideals complete intersection of grade 4
• 年，卷（期）: 2005,（2）
• 页码范围: 181-197
• 页数: 17页
• 语种: 英文

摘要

Serre showed that a Gorenstein ideal of grade 2 is a complete intersection, and Buchsbaum and Eisenbud proved a structure theorem for Gorenstein ideals of grade 3. It is found that a certain complete matrix defines a perfect ideal K3(f).As an application,we present a structure theorem for complete intersections of grade 4.