Jacob P. Matherne

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}$...