The equality case in Godbersen's inequality and its generalizations

Omer Friedland, Eli Putterman, Maud Szusterman

Godbersen's long-standing conjecture states that the mixed volumes of any convex body $K\subset {\mathbb{R}}^n$ satisfy $V(K[k],-K[n-k])\le \left(\genfrac{}{}{0ex}{}{n}{k}\right)\mathrm{vol}(K)$ for a…