Chow polynomials of simplicial posets with positive $h$-vector are real-rooted
Combinatorics
2025-08-22 v1
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 -vector. This class of posets include Cohen-Macaulay simplicial posets and in particular lattices of flats of uniform matroids.
Cite
@article{arxiv.2508.15538,
title = {Chow polynomials of simplicial posets with positive $h$-vector are real-rooted},
author = {Elena Hoster and Christian Stump},
journal= {arXiv preprint arXiv:2508.15538},
year = {2025}
}
Comments
16 pages