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math.CO2024★ 1 cited
The Chow and augmented Chow polynomials of uniform matroids
Elena Hoster
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 formula…
math.CO2024
The coarse flag Hilbert-Poincaré series of the braid arrangement
Elena Hoster, Christian Stump
The paper concerns the coarse flag Hilbert-Poincaré series of Maglione-Voll in the case of the braid arrangement associated to the symmetric group. We explicitly construct a compan…