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arxiv: 2207.08764 · v2 · pith:YANPAWMH · submitted 2022-07-18 · math.CO · math.AG

The Bergman fan of a polymatroid

Colin Crowley , June Huh , Matt Larson , Connor Simpson , Botong Wang This is my paper

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classification math.CO math.AG
keywords bergmanpolymatroidchowringahlerestablishintroduceisomorphic
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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.

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