An algebraic-combinatorial proof of a Bezout-type inequality for mixed volumes of three-dimensional zonoids

Fuente: arXiv
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Autori principali: Averkov, Gennadiy, Soprunov, Ivan
Natura: Preprint
Pubblicazione: 2024
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author Averkov, Gennadiy
Soprunov, Ivan
author_facet Averkov, Gennadiy
Soprunov, Ivan
contents We present a new algebraic-combinatorial approach to proving a Bezout-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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_18928
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An algebraic-combinatorial proof of a Bezout-type inequality for mixed volumes of three-dimensional zonoids
Averkov, Gennadiy
Soprunov, Ivan
Combinatorics
We present a new algebraic-combinatorial approach to proving a Bezout-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.
title An algebraic-combinatorial proof of a Bezout-type inequality for mixed volumes of three-dimensional zonoids
topic Combinatorics
url https://arxiv.org/abs/2409.18928