3 papers
math.CO2024
Examples and counterexamples in Ehrhart theory
Luis Ferroni, Akihiro Higashitani
This article provides a comprehensive exposition about inequalities that the coefficients of Ehrhart polynomials and -polynomials satisfy under various assumptions. We pay par…
math.CO2024
Valuative invariants for large classes of matroids
Luis Ferroni, Benjamin Schröter
We study an operation in matroid theory that allows one to transition a given matroid into another with more bases via relaxing a \emph{stressed subset}. This framework provides a…
math.CO2024
Hilbert-Poincaré series of matroid Chow rings and intersection cohomology
Luis Ferroni, Jacob P. Matherne, Matthew Stevens +1
We study the Hilbert series of four objects arising in the Chow-theoretic and Kazhdan-Lusztig framework of matroids. These are, respectively, the Hilbert series of the Chow ring, t…