3 papers
math.CO2025
The Ehrhart polynomial of a matroid specializes to the beta invariant
Anastasia Chavez, Galen Dorpalen-Barry, Luis Ferroni +3
We show that the linear coefficient of the Ehrhart polynomial of a matroid base polytope evaluated at is equal to, up to normalization, the -invariant of the matroid. This…
math.AG2022
Moments, Sums of Squares, and Tropicalization
Grigoriy Blekherman, Felipe Rincón, Rainer Sinn +2
We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set . The truncated cones of moments of measures supported o…
math.AG2020
Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization
Philipp Jell, Hannah Markwig, Felipe Rincón +1
We study the moduli space of -dimensional linear subspaces contained in a fixed -dimensional linear variety , and its tropicalization. We prove that these moduli space…