Scholarlink

<p>For four elements of a Noetherian ring, we construct complexes of free modules of length three (resp. five) by an explicit description of the homomorphisms of the free modules. We provide exactness criteria for them. As an application, we use these results in order to describe explicitly the minimal free resolution of the Hartshorne–Rao module of a monomial curve lying on a smooth quadric. Also it provides an example of linearly generated module with syzygies of arbitrary high degree.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Monomial curves and locally linear resolution

  • 期刊论文

  • 发表日期：

    2026年5月12日

查看全文
  • Takayuki Hibi,
  • Peter Schenzel

摘要

For four elements of a Noetherian ring, we construct complexes of free modules of length three (resp. five) by an explicit description of the homomorphisms of the free modules. We provide exactness criteria for them. As an application, we use these results in order to describe explicitly the minimal free resolution of the Hartshorne–Rao module of a monomial curve lying on a smooth quadric. Also it provides an example of linearly generated module with syzygies of arbitrary high degree.