Séminaire Lotharingien de Combinatoire, 95B.69 (2026), 12 pp.
Elena Hoster and Christian Stump
Chow Polynomials of Simplicial Posets with Positive h-Vector are Real-Rooted
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 includes Cohen-Macaulay simplicial posets and in particular lattices of flats of uniform matroids.
Received: November 15, 2025.
Accepted: February 15, 2026.
Final version: April 1, 2026.
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