Scholarlink

<p>In this paper we analyze the algebraic properties of some configurations of fat lines of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\mathbb {P}}^3_K\)</EquationSource> </InlineEquation>, with different multiplicity conditions on the lines, called <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\((m_1, m_2, m_3)\)</EquationSource> </InlineEquation>-fat complete grids of type <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\((\ell _1,\ell _2,\ell _3)\)</EquationSource> </InlineEquation>. We study the connection of these grids of lines with liftings of monomial ideals, we explicitly describe the generators of the ideal defining these grids, we study the Cohen-Macaulay property and the syzygy modules of these configurations of fat lines.</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

Algebraic properties of some configurations of fat lines

  • 期刊论文

  • 发表日期：

    2026年2月11日

查看全文
  • Margherita Guida

摘要

In this paper we analyze the algebraic properties of some configurations of fat lines of \({\mathbb {P}}^3_K\) , with different multiplicity conditions on the lines, called \((m_1, m_2, m_3)\) -fat complete grids of type \((\ell _1,\ell _2,\ell _3)\) . We study the connection of these grids of lines with liftings of monomial ideals, we explicitly describe the generators of the ideal defining these grids, we study the Cohen-Macaulay property and the syzygy modules of these configurations of fat lines.