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math.CO2025
Shellings of Unbounded Polyhedra
George Balla, Michael Joswig, Lena Weis
The shellability of the boundary complex of an unbounded polyhedron is investigated. To this end, it is necessary to study suitable compactifications first. Results on polyhedra ca…
math.CO2024
Regular subdivisions, bounds on initial ideals, and categorical limits
George Balla, Daniel Corey, Igor Makhlin +1
Several known constructions relate initial degenerations of projective toric varieties and Grassmannians to regular subdivisions of appropriate point configurations. We define a ge…
math.CO2021
The tropical symplectic Grassmannian
George Balla, Jorge Alberto Olarte
We launch the study of the tropicalization of the symplectic Grassmannian, that is, the space of all linear subspaces that are isotropic with respect to a fixed symplectic form. We…