A note on Bézout type inequalities for mixed volumes and Minkowski sums
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909140595507200 |
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| author | Ndiaye, Cheikh Saliou |
| author_facet | Ndiaye, Cheikh Saliou |
| contents | In this note, we study B{é}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{é}zout type inequalities for mixed volumes. Finally, we apply these inequalities to obtain B{é}zout type inequalities for Minkowski sums. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_12065 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on Bézout type inequalities for mixed volumes and Minkowski sums Ndiaye, Cheikh Saliou Metric Geometry In this note, we study B{é}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{é}zout type inequalities for mixed volumes. Finally, we apply these inequalities to obtain B{é}zout type inequalities for Minkowski sums. |
| title | A note on Bézout type inequalities for mixed volumes and Minkowski sums |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2304.12065 |