Tropical geometry of Rado matroids

被引：0

作者：

Buchanan, Calum ^{[1
]}

Danner, Richard ^{[1
]}

机构：

[1] Univ Vermont, Dept Math & Stat, Burlington, VT 05401 USA

来源：

DISCRETE MATHEMATICS LETTERS | 2024年 / 14卷

关键词：

tropical geometry; Chow ring; Rado matroid;

D O I：

10.47443/dml.2024.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we characterize the products of simplicial generators for the Chow ring of a loopless matroid, extending a result of Backman, Eur, and Simpson [J. Eur. Math. Soc., DOI: 10.4171/JEMS/1350]. We prove that the stable intersection of a collection of tropical hyperplanes centered at the origin with the Bergman fan of a matroid is the Bergman fan of the dual of a certain Rado matroid.

引用

页码：27 / 30

页数：4

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