Bézout-Type Inequality in Convex Geometry

Source abstract

Abstract Inspired by a result of Soprunov and Zvavitch, we present a Bézout type inequality for mixed volumes, which holds true for any convex bodies and improves the previous result. 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.