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- W2950114689 abstract "We provide a natural generalization of a geometric conjecture of F'{a}ry and R'{e}dei regarding the volume of the convex hull of $K subset {mathbb R}^n$, and its negative image $-K$. We show that it implies Godbersen's conjecture regarding the mixed volumes of the convex bodies $K$ and $-K$. We then use the same type of reasoning to produce the currently best known upper bound for the mixed volumes $V(K[j], -K[n-j])$, which is not far from Godbersen's conjectured bound. To this end we prove a certain functional inequality generalizing Colesanti's difference function inequality." @default.
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- W2950114689 date "2014-08-09" @default.
- W2950114689 modified "2023-09-26" @default.
- W2950114689 title "On Godbersen's Conjecture" @default.
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