A note on the topology of Minkowski sums and complete intersections

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2024-03-26 DOI:10.4310/pamq.2024.v20.n1.a2

Karim Adiprasito

引用次数: 0

Abstract

We discuss mixed faces of Minkowski sums of polytopes, and show that any stable complete intersection of pointed hypersurfaces is homotopy Cohen–Macaulay, generalizing a result of Hacking, and answering the topological (or weak) version of a question of Markwig and Yu. In particular, the complete intersection has the homotopy type of a wedge of spheres of the same dimension.

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关于闵科夫斯基和与完全相交的拓扑学的说明

我们讨论了多面体的闵科夫斯基和的混合面，并证明了任何尖超曲面的稳定完全交集都是同调科恩-马卡莱（Cohen-Macaulay），从而推广了哈金（Hacking）的一个结果，并回答了马克维格（Markwig）和余（Yu）的一个问题的拓扑（或弱）版本。特别是，完全交集具有同维度球楔的同调类型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.