Wulff shapes and a characterization of simplices via a Bezout type inequality

DOI10.1016/j.aim.2019.106789zbMath1428.52012arXiv1801.02675OpenAlexW2783336227WikidataQ127099284 ScholiaQ127099284MaRDI QIDQ2335475

Ivan Soprunov, Christos Saroglou, Artem Zvavitch

Publication date: 14 November 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02675

zbMATH Keywords

mixed volumesimplicesWulff shapeBezout inequality

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Reverse Alexandrov–Fenchel inequalities for zonoids, Weighted Minkowski’s existence theorem and projection bodies, Extremizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes, Weighted Brunn-Minkowski theory. I: On weighted surface area measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The log-Brunn-Minkowski inequality
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
• On the equivalence between two problems of asymmetry on convex bodies
• Restricted chord projection and affine inequalities
• The even Orlicz Minkowski problem
• The number of roots of a system of equations
• Newton polyhedra and the genus of complete intersections
• Some inequalities about mixed volumes
• Isotropic constants and Mahler volumes
• Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies
• Volume inequalities for asymmetric Wulff shapes
• Rogers-Shephard and local Loomis-Whitney type inequalities
• Characterization of simplices via the Bezout inequality for mixed volumes
• Algebraic Equations and Convex Bodies
• Volume Ratios and a Reverse Isoperimetric Inequality
• On High Dimensional Maximal Functions Associated to Convex Bodies
• On a local version of the Aleksandrov-Fenchel inequality for the quermassintegrals of a convex body
• The Brunn-Minkowski inequality
• Bezout Inequality for Mixed Volumes
• The logarithmic Minkowski problem
• Convex Bodies The Brunn-MinkowskiTheory
• REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES
• Bézout-Type Inequality in Convex Geometry