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Mixed volumes of matroids

2024/04/18 by Hsiao, Andy, Karu, Kalle, Yang, Jonathan
#14M25 (Secondary) #52B40 (Primary). 52A39 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.11837

Abstract

Our aim in this article is to compute the mixed volume of a matroid. We give two computations. The first one is based on the integration formula for complete fans given by Brion. The second computation is a step-by-step method using deletion of elements in the matroid as in Braden-Huh-Matherne-Proudfoot-Wang.

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