关于闵科夫斯基和与完全相交的拓扑学的说明

Pub Date : 2024-03-26 DOI:10.4310/pamq.2024.v20.n1.a2

Karim Adiprasito

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引用次数: 0

摘要

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。

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A note on the topology of Minkowski sums and complete intersections

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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