Scholarlink

<p>A B-facet is a lattice <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((n-1)\)</EquationSource> </InlineEquation>-dimensional polytope in the positive octant <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathbb {R}^{n}_{\ge 0}\)</EquationSource> </InlineEquation> with a positive normal covector, such that every <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\((n-1)\)</EquationSource> </InlineEquation>-dimensional simplex with vertices in it is a B-simplex (i.e., a pyramid of height one with base on a coordinate hyperplane). B-facets were introduced in [<CitationRef CitationID="CR2">2</CitationRef>] in the context of the monodromy conjecture. In this paper, we complete the classification of B-facets in dimension 4, filling a gap in the classification found by the authors of [<CitationRef CitationID="CR8">8</CitationRef>].</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

B-facets in Dimension 4

  • 期刊论文

  • 发表日期：

    2026年5月11日

查看全文
  • Fedor Selyanin

摘要

A B-facet is a lattice \((n-1)\) -dimensional polytope in the positive octant \(\mathbb {R}^{n}_{\ge 0}\) with a positive normal covector, such that every \((n-1)\) -dimensional simplex with vertices in it is a B-simplex (i.e., a pyramid of height one with base on a coordinate hyperplane). B-facets were introduced in [2] in the context of the monodromy conjecture. In this paper, we complete the classification of B-facets in dimension 4, filling a gap in the classification found by the authors of [8].