3 papers
math.CO2026
The polytope of all matroids in ranks 2 and 3
Narayan Collins, Victoria Schleis
We give explicit recursive constructions for the polytope of all matroids in ranks 2 and 3 for all ground set sizes. This polytope was introduced in recent work by Ferro…
math.AG2025
Zero-dimensional tropicalizations in OSCAR
Arman Marti-Shahandeh, Yue Ren, Victoria Schleis
We present algorithms for computing zero-dimensional tropical varieties as implemented in OscarZerodimensionalTropicalization.jl. The algorithms include a mathematical workaround f…
math.CO2025
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…