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arXiv · 2304.12065

A note on B\'ezout type inequalities for mixed volumes and Minkowski sums

Cheikh Saliou Ndiaye
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Abstract

In this note, we study B{\'e}zout 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{\'e}zout type inequalities for mixed volumes. Finally, we apply these inequalities to obtain B{\'e}zout type inequalities for Minkowski sums.

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Cheikh Saliou Ndiaye. 2023-04-17. A note on B\'ezout type inequalities for mixed volumes and Minkowski sums. https://arxiv.org/abs/2304.12065

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