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math.CO2026
Kazhdan-Lusztig polynomials of matroids need not be unimodal
Ronnie Cheng, Shurui Liu
We construct, over every finite field, representable matroids whose Kazhdan-Lusztig polynomials are not unimodal. In particular, the conjectures that all Kazhdan-Lusztig polynomial…
math.CO2026
Inequalities for Chow Polynomials and Chern Numbers of Matroids
Ronnie Cheng, Wangyang Lin
The Chow polynomial of a matroid is a fundamental invariant whose coefficients exhibit strong positivity properties, including -positivity. We interpret the normalized Chow coe…