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arXiv · 2402.04186

Tropical Geometry of Rado Matroids

Calum Buchanan·Richard Danner
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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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Calum Buchanan, Richard Danner. 2024-02-19. Tropical Geometry of Rado Matroids. https://arxiv.org/abs/2402.04186

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