Scholarlink

<p>In the paper we provide a new method of proving the existence of a hypersurface of degree <i>d</i> in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {P}^n\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">P</mi> </mrow> <mi>n</mi> </msup> </math></EquationSource> </InlineEquation>, with a general point of multiplicity <i>m</i> and vanishing at a given set of points <i>Z</i>, by looking at weak combinatorics of a set <i>Z</i>. This method has a direct application in the theory of unexpected hypersurfaces, where examples are sometimes based only on computer experiments.</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

Matrixwise (approach to unexpected hypersurfaces) reloaded

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年11月8日

查看全文
  • Marcin Dumnicki,
  • Grzegorz Malara,
  • Halszka Tutaj-Gasińska

摘要

In the paper we provide a new method of proving the existence of a hypersurface of degree d in \(\mathbb {P}^n\) P n , with a general point of multiplicity m and vanishing at a given set of points Z, by looking at weak combinatorics of a set Z. This method has a direct application in the theory of unexpected hypersurfaces, where examples are sometimes based only on computer experiments.