发表机构
School of Mathematical Sciences, Dalian University of Technology(大连理工大学数学科学学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文针对Ehrenborg等人提出的环面g-贡献多项式实根性猜想,完成了证明,明确了单纯多面体环面g-多项式的相关结构性质。
AI 中文摘要
近来,Ehrenborg、Hetyei和Readdy将单纯多面体的环面g-多项式表示为一族名为g-贡献多项式的线性组合,系数由其γ-向量的分量给出,他们猜想这些环面g-贡献多项式是实根的,本文证明了该猜想。
英文摘要
Recently, Ehrenborg, Hetyei and Readdy expressed the toric $g$-polynomial of a simple polytope as a linear combination of a family of polynomials, called $g$-contribution polynomials, with coefficients given by the entries of its gamma-vector. They conjectured that these toric $g$-contribution polynomials are real-rooted. This paper proves this conjecture.