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arXiv · 2609.01086

The real-rootedness of the toric $g$-contribution polynomials

Qiqi Xiao
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Abstract

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.

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Qiqi Xiao. 2026-09-01. The real-rootedness of the toric $g$-contribution polynomials. https://arxiv.org/abs/2609.01086

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