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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★ 1 cited
Equivariant Kazhdan-Lusztig theory of paving matroids
Trevor Karn, George Nasr, Nicholas Proudfoot +1
We study the way in which equivariant Kazhdan-Lusztig polynomials, equivariant inverse Kazhdan-Lusztig polynomials, and equivariant Z-polynomials of matroids change under the opera…