14 citations · 46 across the 16 of their papers we have counts for
4 papers · 1 filter
Augmented singular cohomology, uniform matroids, and real-rootedness
Kyle Binder, Lorenzo Vecchi
We study the singular cohomology rings of toric varieties associated with several fans arising from uniform matroids. These rings generalize the Chow and augmented Chow rings of ma…
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 func…
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 c…
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 a…