Luis Ferroni

Preservation of inequalities under Hadamard products

Wagner [J. Math. Anal. Appl. 163 (1992), pp. 459–483] proved that the Hadamard product of two Pólya frequency sequences that are interpolated by polynomials is again a Pólya frequency sequence. We study whether related combinatorial properties are preserved under Hadamard product...

Building sets, Chow rings, and their Hilbert series

Abstract We establish formulas for the Hilbert series of the Chow ring of a polymatroid using arbitrary building sets. For braid matroids and minimal building sets, our results produce new formulas for the Poincaré polynomial of the moduli space $$\overline{\mathcal {M}}_{0,n+1}$...