Extremizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes

DOI10.1016/j.jmaa.2023.127461zbMath1526.52007arXiv2304.00366OpenAlexW4379162717MaRDI QIDQ6063008

Maud Szusterman

Publication date: 6 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.00366

zbMATH Keywords

mixed volumesimplexsurface area measureBezout inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)

Cites Work

• Approximation of convex bodies by inscribed simplices of maximum volume
• Elimination theory and Newton polytopes
• The number of roots of a system of equations
• Polyedres de Newton et nombres de Milnor
• Newton polyhedra and the genus of complete intersections
• Newton polyhedron, Hilbert polynomial, and sums of finite sets
• Some inequalities about mixed volumes
• Wulff shapes and a characterization of simplices via a Bezout type inequality
• Bounds for the discrepancy between convex bodies in terms of the isoperimetric difference
• Characterization of simplices via the Bezout inequality for mixed volumes
• Volume Ratios and a Reverse Isoperimetric Inequality
• Bezout Inequality for Mixed Volumes
• Convex Bodies The Brunn-MinkowskiTheory
• REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES
• Bézout-Type Inequality in Convex Geometry
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