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arXiv · 2508.15538

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted

Elena Hoster·Christian Stump
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Abstract

We prove that a finite graded simplicial poset with a top element added has real-rooted Chow and augmented Chow polynomials whenever it has a positive $h$-vector. This class of posets include Cohen-Macaulay simplicial posets and in particular lattices of flats of uniform matroids.

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Elena Hoster, Christian Stump. 2025-08-21. Chow polynomials of simplicial posets with positive $h$-vector are real-rooted. https://arxiv.org/abs/2508.15538

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