A note on B\'ezout type inequalities for mixed volumes and Minkowski sums
Abstract
In this note, we study B\'ezout type inequalities for mixed volume and Minkowski sum of convex bodies in R n. We first give a new proof and we extend inequalities of Jian Xiao on mixed discriminants. Then, we use mass transport method to deduce some B\'ezout type inequalities for mixed volumes. Finally, we apply these inequalities to obtain B\'ezout type inequalities for Minkowski sums.
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