Colin Crowley, June Huh, Matt Larson, Connor Simpson, Botong Wang
Published 2022-07-18Version 1
We introduce the Bergman fan of a polymatroid and prove that the Chow ring of the Bergman fan is isomorphic to the Chow ring of the polymatroid. Using the Bergman fan, we establish the K\"ahler package for the Chow ring of the polymatroid, recovering and strengthening a result of Pagaria-Pezzoli.
Log-concavity of characteristic polynomials and the Bergman fan of matroids
Simplicial generation of Chow rings of matroids
Tropical Fermat-Weber Points over Bergman Fans
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