Linear Syzygies from k-Configurations in Pn and the Mapping Cone Constructions

• 来源期刊: 代数集刊（英文版）
• 关键词: linear syzygy level algebra Betti number Hilbert function
• 年，卷（期）: 2007,（4）
• 页码范围: 649-660
• 页数: 12页
• 语种: 英文

摘要

We find a necessary and sufficient condition for the Hilbert function to support the ith linear syzygy using type vectors and also construct an Artinian level algebra whose minimal free resolution supports the nth linear syzygy using both a mapping cone construction and coordinate points in Pn.