Bézout type inequality in convex geometry

2017/04/04 by Jian Xiao, Xiao, Jian · 1 citation
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.1704.00883

Abstract

We give a Bézout type inequality for mixed volumes, which holds true for any convex bodies. The key ingredient is the reverse Khovanskii-Teissier inequality for convex bodies, which was obtained in our previous work and inspired by its correspondence in complex geometry.

Citations

• Polar factorization and monotone rearrangement of vector‐valued functions

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• Positivity of valuations on convex bodies and invariant valuations by linear actions

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