Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves

Jaiung Jun, Alex Sistko, Cameron Wright

We study the category $F$-${\text{Mat}}_{\bullet }$ of matroids over an idyll $F$. We show that $F$-${\text{Mat}}_{\bullet }$ is a proto-exact category, a non-additive generalization of…