Tropical Geometry of Rado Matroids

Published 6 Feb 2024 in math.CO | (2402.04186v2)

Abstract: In this note, we characterize the products of simplicial generators for the Chow ring of a loopless matroid, extending a result of Backman, Eur, and Simpson. 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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