Séminaire Lotharingien de Combinatoire, 93B.131 (2025), 12 pp.
Elena Hoster
The Chow and Augmented Chow Polynomials of Uniform Matroids
Abstract.
We provide explicit combinatorial formulas for the Chow polynomial and for the augmented Chow polynomial of uniform matroids, thereby proving a conjecture by Ferroni.
These formulas refine existing formulas by Hampe and by Eur, Huh, and Larson,
offering a combinatorial interpretation of the coefficients based on Schubert matroids.
As a byproduct, we count Schubert matroids by rank, number of loops, and cogirth.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
The following versions are available: