10 papers
A master theorem for topological zeta functions of matroids
Luis Ferroni, Lorenzo Vecchi
We study the topological zeta function of a loopless matroid and its Möbius transform. We provide a novel and manifest description (a ``Master Theorem'') for both fun…
Chow functions for partially ordered sets
Luis Ferroni, Jacob P. Matherne, Lorenzo Vecchi
Three decades ago, Stanley and Brenti initiated the study of the Kazhdan--Lusztig--Stanley (KLS) functions, putting on common ground several polynomials appearing in algebraic comb…
Building sets, Chow rings, and their Hilbert series
Christopher Eur, Luis Ferroni, Jacob P. Matherne +2
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…
The Poincaré polynomial of the type B analogue of
Luis Ferroni, Roberto Pagaria, Lorenzo Vecchi
We establish formulas for the Poincaré polynomial of the type B analogue of the Deligne--Knudsen--Mumford moduli space of rational curves with marked points, providing type B…
Existence of Kähler algebras with Chow polynomials as Hilbert series
Adam Schweitzer, Lorenzo Vecchi
In this article, we study Chow polynomials of weakly ranked posets and prove the existence of Gorenstein algebras with the Kähler package such that their Hilbert--Poincaré series…
Chow classes of matroids and standard Young tableaux
Jon Pål Hamre, Benjamin Schröter, Lorenzo Vecchi +1
We study the Chow classes of arbitrary matroids in the Grassmannian. We develop a new combinatorial approach for computing them, by first focusing on snake matroids and then extend…