An Algebraic-Combinatorial Proof of a Bézout-Type Inequality for Mixed Volumes of Three-Dimensional Zonoids
Abstract We present a new algebraic-combinatorial approach to proving a Bézout-type inequality for zonoids in dimension three, which has recently been established by Fradelizi, Madiman, Meyer, and Zvavitch. Our approach hints at connections between inequalities for mixed volumes of zonoids and real algebra and matroid theory.
Authors
- Gennadiy Averkov (ORCID: https://orcid.org/0000-0003-2245-9958)
- Ivan Soprunov (ORCID: https://orcid.org/0000-0003-0122-7699)
Institutions
- Cleveland State University (US)
- Brandenburg University of Technology Cottbus-Senftenberg (DE)
Publication Details
- Journal
- Discrete & Computational Geometry
- Published
- 2025-05-23
- DOI
- https://doi.org/10.1007/s00454-025-00745-2
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00