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This research introduces the Bergman fan of a polymatroid, proving isomorphism in Chow rings and suggesting new implications.
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 Kähler package for the Chow ring of the polymatroid, recovering and strengthening a result of Pagaria–Pezzoli.
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Crowley et al. (2026) studied this question.
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