Scholarlink

<p>This article investigates under which conditions symbolic powers of the extension of an ideal are the same as the extension of the symbolic powers. As an application, we prove formulas for the resurgence of sum of two homogeneous ideals in finitely generated graded <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\mathbbm {k}}\)</EquationSource> </InlineEquation>-algebras which are domains, where <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\mathbbm {k}}\)</EquationSource> </InlineEquation> is algebraically closed. Initially, these were known for homogeneous ideals in polynomial rings.</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

Symbolic powers via extension

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年4月29日

查看全文
  • Sankhaneel Bisui,
  • Haoxi Hu

摘要

This article investigates under which conditions symbolic powers of the extension of an ideal are the same as the extension of the symbolic powers. As an application, we prove formulas for the resurgence of sum of two homogeneous ideals in finitely generated graded \({\mathbbm {k}}\) -algebras which are domains, where \({\mathbbm {k}}\) is algebraically closed. Initially, these were known for homogeneous ideals in polynomial rings.