3 papers
math.CO2025
Computing parametric weighted Ehrhart polynomials of smooth polytopes
Daniel Hwang, Juliet Whidden, Josephine Yu
We show that when integral polytopes are deformed while keeping the same facet normal vectors, the coefficients of weighted Ehrhart and -polynomials are piecewise polynomial f…
math.CO2024
Tropicalizing Principal Minors of Positive Definite Matrices
Abeer Al Ahmadieh, Felipe Rincón, Cynthia Vinzant +1
We study the tropicalization of the image of the cone of positive definite matrices under the principal minors map. It is a polyhedral subset of the set of -concave functions on…
math.AG2024
Real and Positive Tropicalizations of Symmetric Determinantal Varieties
Abeer Al Ahmadieh, May Cai, Josephine Yu
We study real and positive tropicalizations of the varieties of low rank symmetric matrices over real or complex Puiseux series. We show that real tropicalization coincides with co…