Preprint
Oct 2026
Higher-order Godbersen inequality and a characterization of simplices via the face lattice
We settle the long-standing Godbersen conjecture that the mixed volume of a convex body of fixed positive volume with its reflection about the origin is maximized precisely by simplices. For the proof, we establish a new characterization of simplices by a natural incidence relation on the face lattice. Moreover, we est...
Filip Fryš, Jan Kotrbatý, Mohamed A. Mouamine et al.
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