A note on B\'ezout type inequalities for mixed volumes and Minkowski sums
Metric Geometry
2024-03-20 v3
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.
Keywords
Cite
@article{arxiv.2304.12065,
title = {A note on B\'ezout type inequalities for mixed volumes and Minkowski sums},
author = {Cheikh Saliou Ndiaye},
journal= {arXiv preprint arXiv:2304.12065},
year = {2024}
}