2 papers
math.CO2026
Closure operators and geometric modules of valuated matroids
Jaiung Jun, Jeffrey Tolliver
We introduce a closure operator for valuated matroids and prove that it yields a cryptomorphic definition of valuated matroids. As an application, we introduce a class of modules o…
math.CT2025
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves
Jaiung Jun, Alex Sistko, Cameron Wright
We study the category - of matroids over an idyll . We show that - is a proto-exact category, a non-additive generalization of…