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math.CO2022★ 14 cited
Hilbert-Poincaré series of matroid Chow rings and intersection cohomology
Luis Ferroni, Jacob P. Matherne, Matthew Stevens +1
We study the Hilbert series of four objects arising in the Chow-theoretic and Kazhdan-Lusztig framework of matroids. These are, respectively, the Hilbert series of the Chow ring, t…
math.CO2022★ 4 cited
The Newton polytope and Lorentzian property of chromatic symmetric functions
Jacob P. Matherne, Alejandro H. Morales, Jesse Selover
Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are related to Hessenberg varieties and d…