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.
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页码：27 / 30
页数：4
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