Affiliation:
1. Department of Mathematics, Northwestern University, Evanston, IL, USA
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.
Publisher
Oxford University Press (OUP)
Reference29 articles.
1. “A remarkable measure preserving diffeomorphism between two convex bodies in $\mathbb R^n$.”;Alesker;Geom. Dedicata,1999
2. “Concentration of the mixed discriminant of well-conditioned matrices.”;Alexander;Linear Algebra Appl.,2016
3. “Remarks about mixed discriminants and volumes.”;Artstein-Avidan;Commun. Contemp. Math.,2014
4. “The number of roots of a system of equations.”;Bernstein;Funkcional. Anal. i Priložen.,1975
5. “Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies.”;Brazitikos;Advances in Geometry,2016
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献