A NOTE ON BÉZOUT TYPE INEQUALITIES FOR MIXED VOLUMES AND MINKOWSKI SUMS
Résumé
In this note, we study Bézout 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 Bézout type inequalities for mixed volumes. Finally, we apply these inequalities to obtain Bézout type inequalities for Minkowski sums.
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