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<p>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.</p>

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An Algebraic-Combinatorial Proof of a Bézout-Type Inequality for Mixed Volumes of Three-Dimensional Zonoids

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月23日

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  • Gennadiy Averkov,
  • Ivan Soprunov

摘要

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.