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math.CO2024
An algebraic interpretation of Eulerian polynomials, derangement polynomials, and beyond, via Gröbner methods
Basile Coron
Motivated by the question of whether Chow polynomials of matroids have only real roots, this article revisits the known relationship between Eulerian polynomials and the Hilbert se…
math.CO2024
Operadic Kazhdan-Lusztig-Stanley theory
Basile Coron
We introduce a new type of operad-like structure called a P-operad, which depends on the choice of some collection of posets P, and which is governed by chains in posets of P. We i…