14 citations · 46 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
Extending the ab-index
Elena Hoster, Christian Stump, Lorenzo Vecchi
We prove for finite, graded, bounded posets, that the Poincaré-extended ab-index is obtained from the ab-index via the omega-transformation. This proves a conjecture by Dorpalen-Ba…
Chow polynomials of totally nonnegative matrices and posets
Petter Brändén, Lorenzo Vecchi
Huh-Stevens and Ferroni-Schröter independently conjectured that Hilbert-Poincaré series of Chow rings of geometric lattices have only real zeros. Ferroni, Matherne and the second a…
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…
Chow polynomials of uniform matroids are real-rooted
Petter Brändén, Lorenzo Vecchi
June Huh and Matthew Stevens conjectured that the Hilbert-Poincaré series of the Chow ring of any matroid is a polynomial with only real zeros. We prove this conjecture for the cla…