Bézout type inequality in convex geometry

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.

arXiv comment8 pages

References in corpus (1)

• Teissier's problem on proportionality of nef and big classes over a compact Kähler manifold

Cited by in corpus (1)

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